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Parabolic reaction-diffusion systems with nonlocal coupled diffusivity terms

Discrete and Continuous Dynamical Systems  Volume 37, Issue 5, Pages : 2431 - 2453, 2017

Jorge Ferreira - (email), Hermenegildo Borges de Oliveira - (email)

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Multiple positive standing wave solutions for Schrödinger equations with oscillating state-dependent potentials

Communications on Pure and Applied Analysis  Volume 16, Issue 3, Pages : 953 - 972, 2017

Renata Bunoiu - (email), Radu Precup - (email), Csaba Varga - (email)

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Positive ground state solutions of a quadratically coupled Schrödinger system

Communications on Pure and Applied Analysis  Volume 16, Issue 3, Pages : 999 - 1012, 2017

Zhanping Liang - (email), Yuanmin Song - (email), Fuyi Li - (email)

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Global existence of solutions to an attraction-repulsion chemotaxis model with growth

Communications on Pure and Applied Analysis  Volume 16, Issue 3, Pages : 1037 - 1058, 2017

Sainan Wu - (email), Junping Shi - (email), Boying Wu - (email)

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5

Global dynamics of solutions with group invariance for the nonlinear Schrödinger equation

Communications on Pure and Applied Analysis  Volume 16, Issue 2, Pages : 557 - 590, 2017

Takahisa Inui - (email)

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The existence and nonexistence results of ground state nodal solutions for a Kirchhoff type problem

Communications on Pure and Applied Analysis  Volume 16, Issue 2, Pages : 611 - 627, 2017

Xiao-Jing Zhong - (email), Chun-Lei Tang - (email)

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7

Uniform $L^{\infty}$ boundedness for a degenerate parabolic-parabolic Keller-Segel model

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 2, Pages : 307 - 338, 2016

Wenting Cong - (email), Jian-Guo Liu - (email)

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A note on global existence to a higher-dimensional quasilinear chemotaxis system with consumption of chemoattractant

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 2, Pages : 669 - 686, 2016

Jiashan Zheng - (email), Yifu Wang - (email)

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9

Modified energy functionals and the NLS approximation

Discrete and Continuous Dynamical Systems  Volume 37, Issue 3, Pages : 1295 - 1321, 2016

Patrick Cummings - (email), C. Eugene Wayne - (email)

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On the Cauchy problem for a generalized two-component shallow water wave system with fractional higher-order inertia operators

Discrete and Continuous Dynamical Systems  Volume 37, Issue 3, Pages : 1509 - 1537, 2016

Huijun He - (email), Zhaoyang Yin - (email)

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Conserved quantities, global existence and blow-up for a generalized CH equation

Discrete and Continuous Dynamical Systems  Volume 37, Issue 3, Pages : 1733 - 1748, 2016

Long Wei - (email), Zhijun Qiao - (email), Yang Wang - (email), Shouming Zhou - (email)

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12

Asymptotic properties of standing waves for mass subcritical nonlinear Schrödinger equations

Discrete and Continuous Dynamical Systems  Volume 37, Issue 3, Pages : 1749 - 1762, 2016

Xiaoyu Zeng - (email)

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Blow-up, steady states and long time behaviour of excitatory-inhibitory nonlinear neuron models

Kinetic and Related Models  Volume 10, Issue 3, Pages : 587 - 612, 2016

María J. Cáceres - (email), Ricarda Schneider - (email)

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14

Wave breaking and global existence for the periodic rotation-Camassa-Holm system

Discrete and Continuous Dynamical Systems  Volume 37, Issue 4, Pages : 2243 - 2257, 2016

Ying Zhang - (email)

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15

A global existence and blow-up threshold for Davey-Stewartson equations in $\mathbb{R}^3$

Discrete and Continuous Dynamical Systems - Series S  Volume 9, Issue 6, Pages : 1899 - 1912, 2016

Shiming Li - (email), Yongsheng Li - (email), Wei Yan - (email)

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16

Global existence of weak solutions to the three-dimensional Prandtl equations with a special structure

Discrete and Continuous Dynamical Systems - Series S  Volume 9, Issue 6, Pages : 2011 - 2029, 2016

Cheng-Jie Liu - (email), Ya-Guang Wang - (email), Tong Yang - (email)

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17

Boundedness of solutions to a quasilinear higher-dimensional chemotaxis--haptotaxis model with nonlinear diffusion

Discrete and Continuous Dynamical Systems  Volume 37, Issue 1, Pages : 627 - 643, 2016

Jiashan Zheng - (email)

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18

Global existence and general decay estimates for the viscoelastic equation with acoustic boundary conditions

Discrete and Continuous Dynamical Systems  Volume 36, Issue 12, Pages : 6899 - 6919, 2016

Tae Gab Ha - (email)

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19

Infinitely many solutions for a nonlinear Schrödinger equation with non-symmetric electromagnetic fields

Discrete and Continuous Dynamical Systems  Volume 36, Issue 12, Pages : 7081 - 7115, 2016

Weiming Liu - (email), Chunhua Wang - (email)

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20

A degenerate $p$-Laplacian Keller-Segel model

Kinetic and Related Models  Volume 9, Issue 4, Pages : 687 - 714, 2016

Wenting Cong - (email), Jian-Guo Liu - (email)

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21

Global existence for the 2D Navier-Stokes flow in the exterior of a moving or rotating obstacle

Kinetic and Related Models  Volume 9, Issue 4, Pages : 767 - 776, 2016

Shuguang Shao - (email), Shu Wang - (email), Wen-Qing Xu - (email), Bin Han - (email)

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22

On the compressible Navier-Stokes-Korteweg equations

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 8, Pages : 2745 - 2766, 2016

Tong Tang - (email), Hongjun Gao - (email)

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23

Global dynamics above the ground state for the energy-critical Schrödinger equation with radial data

Communications on Pure and Applied Analysis  Volume 15, Issue 6, Pages : 2023 - 2058, 2016

Kenji Nakanishi - (email), Tristan Roy - (email)

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24

Singular fold with real noise

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 7, Pages : 2091 - 2107, 2016

Peter W. Bates - (email), Ji Li - (email), Mingji Zhang - (email)

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25

Scattering for a nonlinear Schrödinger equation with a potential

Communications on Pure and Applied Analysis  Volume 15, Issue 5, Pages : 1571 - 1601, 2016

Younghun Hong - (email)

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Global existence and time-decay estimates of solutions to the compressible Navier-Stokes-Smoluchowski equations

Discrete and Continuous Dynamical Systems  Volume 36, Issue 10, Pages : 5287 - 5307, 2016

Yingshan Chen - (email), Shijin Ding - (email), Wenjun Wang - (email)

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Well-posedness and blow-up phenomena for a generalized Camassa-Holm equation

Discrete and Continuous Dynamical Systems  Volume 36, Issue 10, Pages : 5493 - 5508, 2016

Jinlu Li - (email), Zhaoyang Yin - (email)

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28

Boundedness in a quasilinear 2D parabolic-parabolic attraction-repulsion chemotaxis system

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 6, Pages : 1953 - 1973, 2016

Yilong Wang - (email), Zhaoyin Xiang - (email)

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29

Separated characteristics and global solvability for the one and one-half dimensional Vlasov Maxwell system

Kinetic and Related Models  Volume 9, Issue 3, Pages : 455 - 467, 2016

Robert Glassey - (email), Stephen Pankavich - (email), Jack Schaeffer - (email)

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30

Least energy solutions of nonlinear Schrödinger equations involving the half Laplacian and potential wells

Communications on Pure and Applied Analysis  Volume 15, Issue 4, Pages : 1215 - 1231, 2016

Miaomiao Niu - (email), Zhongwei Tang - (email)

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31

Soliton solutions for a quasilinear Schrödinger equation with critical exponent

Communications on Pure and Applied Analysis  Volume 15, Issue 4, Pages : 1309 - 1333, 2016

Wentao Huang - (email), Jianlin Xiang - (email)

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On blow-up criterion for the nonlinear Schrödinger equation

Discrete and Continuous Dynamical Systems  Volume 36, Issue 7, Pages : 3639 - 3650, 2016

Dapeng Du - (email), Yifei Wu - (email), Kaijun Zhang - (email)

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33

Remarks on nonlinear elastic waves in the radial symmetry in 2-D

Discrete and Continuous Dynamical Systems  Volume 36, Issue 7, Pages : 4051 - 4062, 2016

Dongbing Zha - (email)

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34

Mathematical analysis of an in-host model of viral dynamics with spatial heterogeneity

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 4, Pages : 1237 - 1257, 2016

Stephen Pankavich - (email), Christian Parkinson - (email)

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35

Global regular solutions to two-dimensional thermoviscoelasticity

Communications on Pure and Applied Analysis  Volume 15, Issue 3, Pages : 1009 - 1028, 2016

Jerzy Gawinecki - (email), Wojciech M. Zajączkowski - (email)

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36

Global boundedness versus finite-time blow-up of solutions to a quasilinear fully parabolic Keller-Segel system of two species

Communications on Pure and Applied Analysis  Volume 15, Issue 1, Pages : 243 - 260, 2015

Miaoqing Tian - (email), Sining Zheng - (email)

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37

Quantum hydrodynamics with nonlinear interactions

Discrete and Continuous Dynamical Systems - Series S  Volume 9, Issue 1, Pages : 1 - 13, 2015

Paolo Antonelli - (email), Pierangelo Marcati - (email)

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38

The path decomposition technique for systems of hyperbolic conservation laws

Discrete and Continuous Dynamical Systems - Series S  Volume 9, Issue 1, Pages : 15 - 32, 2015

Fumioki Asakura - (email), Andrea Corli - (email)

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39

A degenerate edge bifurcation in the 1D linearized nonlinear Schrödinger equation

Discrete and Continuous Dynamical Systems  Volume 36, Issue 6, Pages : 2991 - 3009, 2015

Matt Coles - (email), Stephen Gustafson - (email)

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40

Existence of solutions for a model of microwave heating

Discrete and Continuous Dynamical Systems  Volume 36, Issue 6, Pages : 3011 - 3034, 2015

Pierluigi Colli - (email), Luca Scarpa - (email)

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41

Vortex solutions in Bose-Einstein condensation under a trapping potential varying randomly in time

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 9, Pages : 2793 - 2817, 2015

Anne de Bouard - (email), Reika Fukuizumi - (email), Romain Poncet - (email)

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42

Global existence and boundedness in a parabolic-elliptic Keller-Segel system with general sensitivity

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 1, Pages : 81 - 102, 2015

Kentarou Fujie - (email), Takasi Senba - (email)

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43

Long-time behavior of solutions of the generalized Korteweg--de Vries equation

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 1, Pages : 245 - 252, 2015

Belkacem Said-Houari - (email)

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44

Infinitely many solutions for a perturbed Schrödinger equation

DCDS Supplements  Volume 2015, Issue special, Pages : 94 - 102, 2015

Rossella Bartolo - (email), Anna Maria Candela - (email), Addolorata Salvatore - (email)

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45

Global existence and low Mach number limit to the 3D compressible magnetohydrodynamic equations in a bounded domain

DCDS Supplements  Volume 2015, Issue special, Pages : 387 - 394, 2015

Jishan Fan - (email), Fucai Li - (email), Gen Nakamura - (email)

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46

Blow-up for nonlinear inequalities with gradient terms and singularities on unbounded sets

DCDS Supplements  Volume 2015, Issue special, Pages : 489 - 494, 2015

Evgeny Galakhov - (email), Olga Salieva - (email)

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47

Remarks on a dispersive equation in de Sitter spacetime

DCDS Supplements  Volume 2015, Issue special, Pages : 901 - 905, 2015

Makoto Nakamura - (email)

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48

Absorbing boundary conditions for the Westervelt equation

DCDS Supplements  Volume 2015, Issue special, Pages : 1000 - 1008, 2015

Igor Shevchenko - (email), Barbara Kaltenbacher - (email)

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49

Blow-up of solutions to semilinear wave equations with non-zero initial data

DCDS Supplements  Volume 2015, Issue special, Pages : 1105 - 1114, 2015

Kyouhei Wakasa - (email)

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50

Local well-posedness and blow-up phenomena for a generalized Camassa-Holm equation with peakon solutions

Discrete and Continuous Dynamical Systems  Volume 36, Issue 5, Pages : 2781 - 2801, 2015

Xi Tu - (email), Zhaoyang Yin - (email)

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51

A note on quasilinear wave equations in two space dimensions

Discrete and Continuous Dynamical Systems  Volume 36, Issue 5, Pages : 2855 - 2871, 2015

Dongbing Zha - (email)

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52

Global existence of weak solution to the free boundary problem for compressible Navier-Stokes

Kinetic and Related Models  Volume 9, Issue 1, Pages : 75 - 103, 2015

Zhenhua Guo - (email), Zilai Li - (email)

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53

Global classical solutions of a 3D chemotaxis-Stokes system with rotation

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 9, Pages : 3235 - 3254, 2015

Yulan Wang - (email), Xinru Cao - (email)

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54

Blow up threshold for a parabolic type equation involving space integral and variational structure

Communications on Pure and Applied Analysis  Volume 14, Issue 6, Pages : 2169 - 2183, 2015

Baiyu Liu - (email), Li Ma - (email)

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55

Global existence and blow up of solutions to a class of pseudo-parabolic equations with an exponential source

Communications on Pure and Applied Analysis  Volume 14, Issue 6, Pages : 2465 - 2485, 2015

Xiaoli Zhu - (email), Fuyi Li - (email), Ting Rong - (email)

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56

Small perturbation of a semilinear pseudo-parabolic equation

Discrete and Continuous Dynamical Systems  Volume 36, Issue 2, Pages : 631 - 642, 2015

Yang Cao - (email), Jingxue Yin - (email)

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57

Existence of intermediate weak solution to the equations of multi-dimensional chemotaxis systems

Discrete and Continuous Dynamical Systems  Volume 36, Issue 2, Pages : 861 - 875, 2015

Tong Li - (email), Anthony Suen - (email)

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58

Parabolic elliptic type Keller-Segel system on the whole space case

Discrete and Continuous Dynamical Systems  Volume 36, Issue 2, Pages : 1061 - 1084, 2015

Jinhuan Wang - (email), Li Chen - (email), Liang Hong - (email)

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59

Particle approximation of the one dimensional Keller-Segel equation, stability and rigidity of the blow-up

Discrete and Continuous Dynamical Systems  Volume 36, Issue 3, Pages : 1175 - 1208, 2015

Vincent Calvez - (email), Thomas O. Gallouët - (email)

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60

Global existence of solutions for the three-dimensional Boussinesq system with anisotropic data

Discrete and Continuous Dynamical Systems  Volume 36, Issue 3, Pages : 1563 - 1581, 2015

Yuming Qin - (email), Yang Wang - (email), Xing Su - (email), Jianlin Zhang - (email)

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61

Global existence and steady states of a two competing species Keller--Segel chemotaxis model

Kinetic and Related Models  Volume 8, Issue 4, Pages : 777 - 807, 2015

Qi Wang - (email), Lu Zhang - (email), Jingyue Yang - (email), Jia Hu - (email)

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62

Cyclicity of the origin in slow-fast codimension 3 saddle and elliptic bifurcations

Discrete and Continuous Dynamical Systems  Volume 36, Issue 1, Pages : 171 - 215, 2015

Renato Huzak - (email)

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63

On the Benilov-Vynnycky blow-up problem

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 5, Pages : 1443 - 1460, 2015

Marina Chugunova - (email), Chiu-Yen Kao - (email), Sarun Seepun - (email)

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64

Chemotaxis can prevent thresholds on population density

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 5, Pages : 1499 - 1527, 2015

Johannes Lankeit - (email)

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65

On the Cauchy problem for a four-component Camassa-Holm type system

Discrete and Continuous Dynamical Systems  Volume 35, Issue 10, Pages : 5153 - 5169, 2015

Zeng Zhang - (email), Zhaoyang Yin - (email)

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66

Global and almost global existence of small solutions to a dissipative wave equation in 3D with nearly null nonlinear terms

Communications on Pure and Applied Analysis  Volume 14, Issue 4, Pages : 1407 - 1442, 2015

Boyan Jonov - (email), Thomas C. Sideris - (email)

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67

A numerical approach to Blow-up issues for Davey-Stewartson II systems

Communications on Pure and Applied Analysis  Volume 14, Issue 4, Pages : 1443 - 1467, 2015

Christian Klein - (email), Jean-Claude Saut - (email)

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68

A sharp scattering condition for focusing mass-subcritical nonlinear Schrödinger equation

Communications on Pure and Applied Analysis  Volume 14, Issue 4, Pages : 1481 - 1531, 2015

Satoshi Masaki - (email)

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69

Standing wave concentrating on compact manifolds for nonlinear Schrödinger equations

Communications on Pure and Applied Analysis  Volume 14, Issue 3, Pages : 825 - 842, 2015

Jaeyoung Byeon - (email), Ohsang Kwon - (email), Yoshihito Oshita - (email)

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70

Global existence and optimal decay rates of solutions to a reduced gravity two and a half layer model

Communications on Pure and Applied Analysis  Volume 14, Issue 3, Pages : 981 - 1000, 2015

Haibo Cui - (email), Lei Yao - (email), Zheng-An Yao - (email)

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71

On weak interaction between a ground state and a trapping potential

Discrete and Continuous Dynamical Systems  Volume 35, Issue 8, Pages : 3343 - 3376, 2015

Scipio Cuccagna - (email), Masaya Maeda - (email)

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72

Global existence and boundedness for chemotaxis-Navier-Stokes systems with position-dependent sensitivity in 2D bounded domains

Discrete and Continuous Dynamical Systems  Volume 35, Issue 8, Pages : 3463 - 3482, 2015

Sachiko Ishida - (email)

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73

Boundedness in quasilinear Keller-Segel equations with nonlinear sensitivity and logistic source

Discrete and Continuous Dynamical Systems  Volume 35, Issue 8, Pages : 3503 - 3531, 2015

Xie Li - (email), Zhaoyin Xiang - (email)

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74

Global estimates and blow-up criteria for the generalized Hunter-Saxton system

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 2, Pages : 641 - 673, 2015

Alejandro Sarria - (email)

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75

Nodal solutions of 2-D critical nonlinear Schrödinger equations with potentials vanishing at infinity

Discrete and Continuous Dynamical Systems  Volume 35, Issue 7, Pages : 2921 - 2948, 2015

Mingwen Fei - (email), Huicheng Yin - (email)

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76

Global solutions of a Keller--Segel system with saturated logarithmic sensitivity function

Communications on Pure and Applied Analysis  Volume 14, Issue 2, Pages : 383 - 396, 2014

Qi Wang - (email)

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77

One-parameter solutions of the Euler-Arnold equation on the contactomorphism group

Discrete and Continuous Dynamical Systems  Volume 35, Issue 5, Pages : 2123 - 2130, 2014

Stephen C. Preston - (email), Alejandro Sarria - (email)

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78

Global classical solutions for the "One and one-half'' dimensional relativistic Vlasov-Maxwell-Fokker-Planck system

Kinetic and Related Models  Volume 8, Issue 1, Pages : 169 - 199, 2014

Stephen Pankavich - (email), Nicholas Michalowski - (email)

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79

Avoidance behavior in intraguild predation communities: A cross-diffusion model

Discrete and Continuous Dynamical Systems  Volume 35, Issue 4, Pages : 1641 - 1663, 2014

Daniel Ryan - (email), Robert Stephen Cantrell - (email)

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80

Finite mechanical proxies for a class of reducible continuum systems

Networks and Heterogeneous Media  Volume 9, Issue 3, Pages : 417 - 432, 2014

Franco Cardin - (email), Alberto Lovison - (email)

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81

Qualitative analysis of a Lotka-Volterra competition system with advection

Discrete and Continuous Dynamical Systems  Volume 35, Issue 3, Pages : 1239 - 1284, 2014

Qi Wang - (email), Chunyi Gai - (email), Jingda Yan - (email)

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82

On a generalized Cahn-Hilliard equation with biological applications

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 7, Pages : 2013 - 2026, 2014

Laurence Cherfils - (email), Alain Miranville - (email), Sergey Zelik - (email)

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83

Existence, decay and blow-up for solutions to the sixth-order generalized Boussinesq equation

Discrete and Continuous Dynamical Systems  Volume 35, Issue 1, Pages : 117 - 137, 2014

Akmel Dé Godefroy - (email)

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84

Self-trapping and Josephson tunneling solutions to the nonlinear Schrödinger / Gross-Pitaevskii equation

Discrete and Continuous Dynamical Systems  Volume 35, Issue 1, Pages : 225 - 246, 2014

Roy H. Goodman - (email), Jeremy L. Marzuola - (email), Michael I. Weinstein - (email)

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85

Decay rates of the compressible Navier-Stokes-Korteweg equations with potential forces

Discrete and Continuous Dynamical Systems  Volume 35, Issue 1, Pages : 513 - 536, 2014

Wenjun Wang - (email), Weike Wang - (email)

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86

On global existence for the Gierer-Meinhardt system

Discrete and Continuous Dynamical Systems  Volume 35, Issue 1, Pages : 583 - 591, 2014

Henghui Zou - (email)

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87

Radial symmetry of ground states for a regional fractional Nonlinear Schrödinger Equation

Communications on Pure and Applied Analysis  Volume 13, Issue 6, Pages : 2395 - 2406, 2014

Patricio Felmer - (email), César Torres - (email)

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88

Primary birth of canard cycles in slow-fast codimension 3 elliptic bifurcations

Communications on Pure and Applied Analysis  Volume 13, Issue 6, Pages : 2641 - 2673, 2014

Renato Huzak - (email), P. De Maesschalck - (email), Freddy Dumortier - (email)

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89

Newton's law for a trajectory of concentration of solutions to nonlinear Schrodinger equation

Communications on Pure and Applied Analysis  Volume 13, Issue 5, Pages : 1685 - 1718, 2014

Anatoli Babin - (email), Alexander Figotin - (email)

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90

Numerical study of blow-up in solutions to generalized Kadomtsev-Petviashvili equations

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 6, Pages : 1689 - 1717, 2014

Christian Klein - (email), Ralf Peter - (email)

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91

The Cauchy problem for a generalized $b$-equation with higher-order nonlinearities in critical Besov spaces and weighted $L^p$ spaces

Discrete and Continuous Dynamical Systems  Volume 34, Issue 11, Pages : 4967 - 4986, 2014

Shouming Zhou - (email)

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92

A kinetic energy reduction technique and characterizations of the ground states of spin-1 Bose-Einstein condensates

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 4, Pages : 1119 - 1128, 2014

Liren Lin - (email), I-Liang Chern - (email)

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93

Ill-posedness for the quadratic nonlinear Schrödinger equation with nonlinearity $|u|^2$

Communications on Pure and Applied Analysis  Volume 14, Issue 4, Pages : 1395 - 1405, 2014

Tsukasa Iwabuchi - (email), Kota Uriya - (email)

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94

Global existence for the defocusing nonlinear Schrödinger equations with limit periodic initial data

Communications on Pure and Applied Analysis  Volume 14, Issue 4, Pages : 1563 - 1580, 2014

Tadahiro Oh - (email)

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95

Homoclinic orbits of first-order superquadratic Hamiltonian systems

Discrete and Continuous Dynamical Systems  Volume 34, Issue 9, Pages : 3353 - 3369, 2014

Cyril Joel Batkam - (email)

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96

Blow-up of solutions to the one-dimensional semilinear wave equation with damping depending on time and space variables

Discrete and Continuous Dynamical Systems  Volume 34, Issue 9, Pages : 3831 - 3846, 2014

Yuta Wakasugi - (email)

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97

Internal control of the Schrödinger equation

Mathematical Control and Related Fields  Volume 4, Issue 2, Pages : 161 - 186, 2014

Camille Laurent - (email)

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98

Global existence of solutions for the thermoelastic Bresse system

Communications on Pure and Applied Analysis  Volume 13, Issue 4, Pages : 1395 - 1406, 2014

Yuming Qin - (email), Xinguang Yang - (email), Zhiyong Ma - (email)

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99

Existence and nonexistence of local/global solutions for a nonhomogeneous heat equation

Communications on Pure and Applied Analysis  Volume 13, Issue 4, Pages : 1465 - 1480, 2014

Xie Li - (email), Zhaoyin Xiang - (email)

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100

Global strong solution to the two-dimensional density-dependent magnetohydrodynamic equations with vaccum

Communications on Pure and Applied Analysis  Volume 13, Issue 4, Pages : 1481 - 1490, 2014

Jishan Fan - (email), Fucai Li - (email), Gen Nakamura - (email)

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101

Rotation-strain decomposition for the incompressible viscoelasticity in two dimensions

Discrete and Continuous Dynamical Systems  Volume 34, Issue 7, Pages : 2861 - 2871, 2013

Zhen Lei - (email)

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102

Small data solutions for semilinear wave equations with effective damping

DCDS Supplements  Volume 2013, Issue special, Pages : 183 - 191, 2013

Marcello D'Abbicco - (email)

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103

Remarks on the global existence of weak solutions to quasilinear degenerate Keller-Segel systems

DCDS Supplements  Volume 2013, Issue special, Pages : 345 - 354, 2013

Sachiko Ishida - (email), Tomomi Yokota - (email)

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104

On the uniqueness of blow-up solutions of fully nonlinear elliptic equations

DCDS Supplements  Volume 2013, Issue special, Pages : 771 - 780, 2013

Antonio Vitolo - (email), Maria E. Amendola - (email), Giulio Galise - (email)

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105

Longtime dynamics for an elastic waveguide model

DCDS Supplements  Volume 2013, Issue special, Pages : 797 - 806, 2013

Zhijian Yang - (email), Ke Li - (email)

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106

Control of blow-up singularities for nonlinear wave equations

Evolution Equations and Control Theory  Volume 2, Issue 4, Pages : 669 - 677, 2013

Satyanad Kichenassamy - (email)

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107

Asymptotic behavior of solutions to the generalized cubic double dispersion equation in one space dimension

Kinetic and Related Models  Volume 6, Issue 4, Pages : 969 - 987, 2013

Masakazu Kato - (email), Yu-Zhu Wang - (email), Shuichi Kawashima - (email)

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108

A note on the existence of global solutions for reaction-diffusion equations with almost-monotonic nonlinearities

Communications on Pure and Applied Analysis  Volume 13, Issue 2, Pages : 635 - 644, 2013

Aníbal Rodríguez-Bernal - (email), Alejandro Vidal-López - (email)

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109

The global solvability of a sixth order Cahn-Hilliard type equation via the Bäcklund transformation

Communications on Pure and Applied Analysis  Volume 13, Issue 2, Pages : 859 - 880, 2013

Irena Pawłow - (email), Wojciech M. Zajączkowski - (email)

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110

Blow-up in finite or infinite time for quasilinear degenerate Keller-Segel systems of parabolic-parabolic type

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 10, Pages : 2569 - 2596, 2013

Sachiko Ishida - (email), Tomomi Yokota - (email)

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111

Gradient estimate for solutions to quasilinear non-degenerate Keller-Segel systems on $\mathbb{R}^N$

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 10, Pages : 2537 - 2568, 2013

Sachiko Ishida - (email), Yusuke Maeda - (email), Tomomi Yokota - (email)

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112

Global solutions and exponential attractors of a parabolic-parabolic system for chemotaxis with subquadratic degradation

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 10, Pages : 2627 - 2646, 2013

Etsushi Nakaguchi - (email), Koichi Osaki - (email)

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113

Well-posedness for a model of individual clustering

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 10, Pages : 2647 - 2668, 2013

Elissar Nasreddine - (email)

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114

Two-dimensional individual clustering model

Discrete and Continuous Dynamical Systems - Series S  Volume 7, Issue 2, Pages : 307 - 316, 2013

Elissar Nasreddine - (email)

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115

Blow-up results for semilinear wave equations in the superconformal case

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 9, Pages : 2315 - 2329, 2013

Mohamed-Ali Hamza - (email), Hatem Zaag - (email)

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116

Global existence of small-norm solutions in the reduced Ostrovsky equation

Discrete and Continuous Dynamical Systems  Volume 34, Issue 2, Pages : 557 - 566, 2013

Roger Grimshaw - (email), Dmitry Pelinovsky - (email)

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117

The defocusing $\dot{H}^{1/2}$-critical NLS in high dimensions

Discrete and Continuous Dynamical Systems  Volume 34, Issue 2, Pages : 733 - 748, 2013

Jason Murphy - (email)

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118

Boundedness in a parabolic-parabolic quasilinear chemotaxis system with logistic source

Discrete and Continuous Dynamical Systems  Volume 34, Issue 2, Pages : 789 - 802, 2013

Liangchen Wang - (email), Yuhuan Li - (email), Chunlai Mu - (email)

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119

Well-posedness, blow-up phenomena and global existence for the generalized $b$-equation with higher-order nonlinearities and weak dissipation

Discrete and Continuous Dynamical Systems  Volume 34, Issue 2, Pages : 843 - 867, 2013

Shouming Zhou - (email), Chunlai Mu - (email), Liangchen Wang - (email)

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120

Numerical simulation of nonlinear dispersive quantization

Discrete and Continuous Dynamical Systems  Volume 34, Issue 3, Pages : 991 - 1008, 2013

Gong Chen - (email), Peter J. Olver - (email)

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121

Crystalline motion of spiral-shaped polygonal curves with a tip motion

Discrete and Continuous Dynamical Systems - Series S  Volume 7, Issue 1, Pages : 53 - 62, 2013

Tetsuya Ishiwata - (email)

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122

Blow-up dynamics of self-attracting diffusive particles driven by competing convexities

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 8, Pages : 2029 - 2050, 2013

Vincent Calvez - (email), Lucilla Corrias - (email)

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123

Blow-up for a non-local diffusion equation with exponential reaction term and Neumann boundary condition

Communications on Pure and Applied Analysis  Volume 12, Issue 6, Pages : 2935 - 2946, 2013

Shouming Zhou - (email), Chunlai Mu - (email), Yongsheng Mi - (email), Fuchen Zhang - (email)

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124

Non-isothermal cyclic fatigue in an oscillating elastoplastic beam

Communications on Pure and Applied Analysis  Volume 12, Issue 6, Pages : 2973 - 2996, 2013

Michela Eleuteri - (email), Jana Kopfová - (email), Pavel Krejčí - (email)

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125

Global existence via a multivalued operator for an Allen-Cahn-Gurtin equation

Discrete and Continuous Dynamical Systems  Volume 33, Issue 11/12, Pages : 5347 - 5377, 2013

Michel Pierre - (email), Morgan Pierre - (email)

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126

Global existence and large time behavior of solutions to the electric-magnetohydrodynamic equations

Kinetic and Related Models  Volume 6, Issue 3, Pages : 481 - 503, 2013

Dongfen Bian - (email), Boling Guo - (email)

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127

A Liouville theorem of degenerate elliptic equation and its application

Discrete and Continuous Dynamical Systems  Volume 33, Issue 10, Pages : 4549 - 4566, 2013

Genggeng Huang - (email)

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128

Long time existence of regular solutions to non-homogeneous Navier-Stokes equations

Discrete and Continuous Dynamical Systems - Series S  Volume 6, Issue 5, Pages : 1427 - 1455, 2013

Wojciech M. Zajączkowski - (email)

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129

Constrained energy minimization and ground states for NLS with point defects

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 5, Pages : 1155 - 1188, 2013

Riccardo Adami - (email), Diego Noja - (email), Nicola Visciglia - (email)

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130

Numerical study of blow-up in the Davey-Stewartson system

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 5, Pages : 1361 - 1387, 2013

Christian Klein - (email), Benson Muite - (email), Kristelle Roidot - (email)

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131

Global existence for exterior problems of semilinear wave equations with the null condition in $2$D

Evolution Equations and Control Theory  Volume 2, Issue 2, Pages : 319 - 335, 2013

Hideo Kubo - (email)

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132

Existence and exponential decay for a nonlinear wave equation with nonlocal boundary conditions

Communications on Pure and Applied Analysis  Volume 12, Issue 5, Pages : 2001 - 2029, 2013

Le Thi Phuong Ngoc - (email), Nguyen Thanh Long - (email)

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133

Mathematical theory and numerical methods for Bose-Einstein condensation

Kinetic and Related Models  Volume 6, Issue 1, Pages : 1 - 135, 2012

Weizhu Bao - (email), Yongyong Cai - (email)

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134

Global well-posedness and scattering for the defocusing, cubic nonlinear Schrödinger equation when $n = 3$ via a linear-nonlinear decomposition

Discrete and Continuous Dynamical Systems  Volume 33, Issue 5, Pages : 1905 - 1926, 2012

Benjamin Dodson - (email)

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135

Non-hamiltonian Schrödinger systems

Discrete and Continuous Dynamical Systems - Series S  Volume 6, Issue 3, Pages : 761 - 770, 2012

Sandra Lucente - (email), Eugenio Montefusco - (email)

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136

$L_p$-theory for a Cahn-Hilliard-Gurtin system

Evolution Equations and Control Theory  Volume 1, Issue 2, Pages : 393 - 429, 2012

Mathias Wilke - (email)

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137

Multibump solutions of nonlinear Schrödinger equations with steep potential well and indefinite potential

Discrete and Continuous Dynamical Systems  Volume 33, Issue 1, Pages : 7 - 26, 2012

Thomas Bartsch - (email), Zhongwei Tang - (email)

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138

Global existence and stability for a hydrodynamic system in the nematic liquid crystal flows

Communications on Pure and Applied Analysis  Volume 12, Issue 1, Pages : 341 - 357, 2012

Jihong Zhao - (email), Qiao Liu - (email), Shangbin Cui - (email)

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139

The Cauchy problem for a nonhomogeneous heat equation with reaction

Discrete and Continuous Dynamical Systems  Volume 33, Issue 2, Pages : 643 - 662, 2012

Arturo de Pablo - (email), Guillermo Reyes - (email), Ariel Sánchez - (email)

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140

On global existence of classical solutions for the Vlasov-Poisson system in convex bounded domains

Discrete and Continuous Dynamical Systems  Volume 33, Issue 2, Pages : 723 - 737, 2012

Hyung Ju Hwang - (email), Jaewoo Jung - (email), Juan J. L. Velázquez - (email)

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141

Globally weak solutions to the flow of compressible liquid crystals system

Discrete and Continuous Dynamical Systems  Volume 33, Issue 2, Pages : 757 - 788, 2012

Xian-Gao Liu - (email), Jie Qing - (email)

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142

Finite charge solutions to cubic Schrödinger equations with a nonlocal nonlinearity in one space dimension

Discrete and Continuous Dynamical Systems  Volume 33, Issue 2, Pages : 789 - 801, 2012

Kei Nakamura - (email), Tohru Ozawa - (email)

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143

Blow-up for semilinear parabolic equations with critical Sobolev exponent

Communications on Pure and Applied Analysis  Volume 12, Issue 2, Pages : 1103 - 1110, 2012

Li Ma - (email)

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144

Semilinear elliptic systems involving multiple critical exponents and singularities in $\mathbb{R}^N$

Discrete and Continuous Dynamical Systems  Volume 32, Issue 12, Pages : 4247 - 4263, 2012

Dongsheng Kang - (email), Fen Yang - (email)

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145

Blow-up phenomena in reaction-diffusion systems

Discrete and Continuous Dynamical Systems  Volume 32, Issue 11, Pages : 4001 - 4014, 2012

Monica Marras - (email), Stella Vernier Piro - (email)

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146

Formation of singularities to quasi-linear hyperbolic systems with initial data of small BV norm

Discrete and Continuous Dynamical Systems  Volume 32, Issue 10, Pages : 3501 - 3524, 2012

Wen-Rong Dai - (email)

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147

Bounds on the growth of high Sobolev norms of solutions to 2D Hartree equations

Discrete and Continuous Dynamical Systems  Volume 32, Issue 10, Pages : 3733 - 3771, 2012

Vedran Sohinger - (email)

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148

Asymptotic behavior of the ground state Solutions for Hénon equation with Robin boundary condition

Communications on Pure and Applied Analysis  Volume 12, Issue 6, Pages : 2393 - 2408, 2012

Haiyang He - (email)

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149

Preconditioning operators and $L^\infty$ attractor for a class of reaction-diffusion systems

Communications on Pure and Applied Analysis  Volume 11, Issue 6, Pages : 2179 - 2199, 2012

Boris Andreianov - (email), Halima Labani - (email)

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150

Hyperbolic Navier-Stokes equations II: Global existence of small solutions

Evolution Equations and Control Theory  Volume 1, Issue 1, Pages : 217 - 234, 2012

Reinhard Racke - (email), Jürgen Saal - (email)

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151

On the Lagrangian averaged Euler equations: local well-posedness and blow-up criterion

Communications on Pure and Applied Analysis  Volume 11, Issue 5, Pages : 1809 - 1823, 2012

Xinwei Yu - (email), Zhichun Zhai - (email)

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152

Global well-posedness and scattering for Skyrme wave maps

Communications on Pure and Applied Analysis  Volume 11, Issue 5, Pages : 1923 - 1933, 2012

Dan-Andrei Geba - (email), Kenji Nakanishi - (email), Sarada G. Rajeev - (email)

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153

Symmetries and blow-up phenomena for a Dirichlet problem with a large parameter

Communications on Pure and Applied Analysis  Volume 11, Issue 5, Pages : 1935 - 1957, 2012

Pierpaolo Esposito - (email), Maristella Petralla - (email)

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154

Blow-up for the heat equation with a general memory boundary condition

Communications on Pure and Applied Analysis  Volume 11, Issue 5, Pages : 2147 - 2156, 2012

Keng Deng - (email), Zhihua Dong - (email)

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155

Energy cascades for NLS on the torus

Discrete and Continuous Dynamical Systems  Volume 32, Issue 6, Pages : 2063 - 2077, 2012

Rémi Carles - (email), Erwan Faou - (email)

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156

On the fluid dynamical approximation to the nonlinear Klein-Gordon equation

Discrete and Continuous Dynamical Systems  Volume 32, Issue 6, Pages : 2233 - 2251, 2012

Chi-Kun Lin - (email), Kung-Chien Wu - (email)

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157

From the Newton equation to the wave equation in some simple cases

Networks and Heterogeneous Media  Volume 7, Issue 1, Pages : 1 - 41, 2012

Xavier Blanc - (email), Claude Le Bris - (email), Pierre-Louis Lions - (email)

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158

Global existence and boundedness in a Keller-Segel-Stokes model with arbitrary porous medium diffusion

Discrete and Continuous Dynamical Systems  Volume 32, Issue 5, Pages : 1901 - 1914, 2012

Youshan Tao - (email), Michael Winkler - (email)

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159

Stability of the two dimensional magnetohydrodynamic flows in $\mathbb{R}^3$

Discrete and Continuous Dynamical Systems - Series B  Volume 17, Issue 3, Pages : 1061 - 1073, 2012

Keyan Wang - (email), Yi Du - (email)

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160

Nonlinear stability of combination of viscous contact wave with rarefaction waves for a 1D radiation hydrodynamics model

Discrete and Continuous Dynamical Systems - Series B  Volume 17, Issue 3, Pages : 1075 - 1100, 2012

Feng Xie - (email)

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161

Soliton and blow-up solutions to the time-dependent Schrödinger-Hartree equation

Discrete and Continuous Dynamical Systems - Series S  Volume 5, Issue 5, Pages : 903 - 923, 2012

Hristo Genev - (email), George Venkov - (email)

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162

Global existence and long-time behavior of entropy weak solutions to a quasilinear hyperbolic blood flow model

Networks and Heterogeneous Media  Volume 6, Issue 4, Pages : 625 - 646, 2011

Tong Li - (email), Kun Zhao - (email)

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163

Exponential decay for solutions to semilinear damped wave equation

Discrete and Continuous Dynamical Systems - Series S  Volume 5, Issue 3, Pages : 559 - 566, 2011

Stéphane Gerbi - (email), Belkacem Said-Houari - (email)

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164

A family of nonlinear diffusions connecting Perona-Malik to standard diffusion

Discrete and Continuous Dynamical Systems - Series S  Volume 5, Issue 3, Pages : 581 - 590, 2011

Patrick Guidotti - (email)

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165

A bifurcation for a generalized Burgers' equation in dimension one

Discrete and Continuous Dynamical Systems - Series S  Volume 5, Issue 3, Pages : 683 - 706, 2011

Jean-François Rault - (email)

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166

On the Cauchy problem for nonlinear Schrödinger equations with rotation

Discrete and Continuous Dynamical Systems  Volume 32, Issue 3, Pages : 703 - 715, 2011

Paolo Antonelli - (email), Daniel Marahrens - (email), Christof Sparber - (email)

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167

Blow-up, global existence and standing waves for the magnetic nonlinear Schrödinger equations

Discrete and Continuous Dynamical Systems  Volume 32, Issue 3, Pages : 827 - 846, 2011

Zaihui Gan - (email), Jian Zhang - (email)

 Abstract       References       Full Text      Related Articles

168

On the regularity of solutions to the Navier-Stokes equations

Communications on Pure and Applied Analysis  Volume 11, Issue 2, Pages : 747 - 761, 2011

Vittorino Pata - (email)

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169

Sharp blow-up for semilinear wave equations with non-compactly supported data

DCDS Supplements  Volume 2011, Issue Special, Pages : 1351 - 1357, 2011

Hiroyuki Takamura - (email), Hiroshi Uesaka - (email), Kyouhei Wakasa - (email)

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170

Some remarks for a modified periodic Camassa-Holm system

Discrete and Continuous Dynamical Systems  Volume 30, Issue 4, Pages : 1161 - 1180, 2011

Guangying Lv - (email), Mingxin Wang - (email)

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171

On a quasilinear hyperbolic system in blood flow modeling

Discrete and Continuous Dynamical Systems - Series B  Volume 16, Issue 1, Pages : 333 - 344, 2011

Tong Li - (email), Kun Zhao - (email)

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172

Rate of $L^2$-concentration of the blow-up solution for critical nonlinear Schrödinger equation with potential

Mathematical Control and Related Fields  Volume 1, Issue 1, Pages : 119 - 127, 2011

Jian Zhang - (email), Shihui Zhu - (email), Xiaoguang Li - (email)

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173

Numerical simulation of resonant tunneling of fast solitons for the nonlinear Schrödinger equation

Discrete and Continuous Dynamical Systems  Volume 29, Issue 4, Pages : 1637 - 1649, 2010

Walid K. Abou Salem - (email), Xiao Liu - (email), Catherine Sulem - (email)

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174

Existence of solitary waves in nonlinear equations of Schrödinger type

Discrete and Continuous Dynamical Systems - Series S  Volume 4, Issue 5, Pages : 1007 - 1017, 2010

Juan Belmonte-Beitia - (email), Vladyslav Prytula - (email)

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175

Exact solutions for periodic and solitary matter waves in nonlinear lattices

Discrete and Continuous Dynamical Systems - Series S  Volume 4, Issue 5, Pages : 1299 - 1325, 2010

Cheng Hou Tsang - (email), Boris A. Malomed - (email), Kwok Wing Chow - (email)

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176

Dark solitary waves in nonlocal nonlinear Schrödinger systems

Discrete and Continuous Dynamical Systems - Series S  Volume 4, Issue 5, Pages : 1327 - 1340, 2010

David Usero - (email)

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177

Global existence and asymptotic behavior of solutions for quasi-linear dissipative plate equation

Discrete and Continuous Dynamical Systems  Volume 29, Issue 3, Pages : 1113 - 1139, 2010

Yongqin Liu - (email), Shuichi Kawashima - (email)

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178

The degenerate drift-diffusion system with the Sobolev critical exponent

Discrete and Continuous Dynamical Systems - Series S  Volume 4, Issue 4, Pages : 875 - 886, 2010

T. Ogawa - (email)

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179

Detectable canard cycles with singular slow dynamics of any order at the turning point

Discrete and Continuous Dynamical Systems  Volume 29, Issue 1, Pages : 109 - 140, 2010

P. De Maesschalck - (email), Freddy Dumortier - (email)

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180

A sharp decay estimate for nonlinear Schrödinger equations with vanishing potentials

Communications on Pure and Applied Analysis  Volume 9, Issue 6, Pages : 1723 - 1730, 2010

Yongsheng Jiang - (email), Huan-Song Zhou - (email)

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181

Regular flows of weakly compressible viscoelastic fluids and the incompressible limit

Discrete and Continuous Dynamical Systems - Series B  Volume 14, Issue 3, Pages : 1001 - 1028, 2010

Colette Guillopé - (email), Zaynab Salloum - (email), Raafat Talhouk - (email)

 Abstract       Full Text      Related Articles

182

Long time dynamics near the symmetry breaking bifurcation for nonlinear Schrödinger/Gross-Pitaevskii equations

Discrete and Continuous Dynamical Systems  Volume 28, Issue 4, Pages : 1505 - 1554, 2010

Jeremy L. Marzuola - (email), Michael I. Weinstein - (email)

 Abstract       Full Text      Related Articles

183

Global existence for high dimensional quasilinear wave equations exterior to star-shaped obstacles

Discrete and Continuous Dynamical Systems  Volume 28, Issue 4, Pages : 1589 - 1601, 2010

Jason Metcalfe - (email), Christopher D. Sogge - (email)

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184

Blow-up in a subdiffusive medium with advection

Discrete and Continuous Dynamical Systems  Volume 28, Issue 4, Pages : 1655 - 1667, 2010

W. Edward Olmstead - (email), Colleen M. Kirk - (email), Catherine A. Roberts - (email)

 Abstract       Full Text      Related Articles

185

Symmetric semiclassical states to a magnetic nonlinear Schrödinger equation via equivariant Morse theory

Communications on Pure and Applied Analysis  Volume 9, Issue 5, Pages : 1263 - 1281, 2010

Silvia Cingolani - (email), Mónica Clapp - (email)

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186

A mean-field toy model for resonant transport

Kinetic and Related Models  Volume 3, Issue 2, Pages : 299 - 309, 2010

Patrick Gerard - (email), Christophe Pallard - (email)

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187

Mean field equations of Liouville type with singular data: Sharper estimates

Discrete and Continuous Dynamical Systems  Volume 28, Issue 3, Pages : 1237 - 1272, 2010

Chiun-Chuan Chen - (email), Chang-Shou Lin - (email)

 Abstract       Full Text      Related Articles

188

Some mathematical problems in a neoclassical theory of electric charges

Discrete and Continuous Dynamical Systems  Volume 27, Issue 4, Pages : 1283 - 1326, 2010

Anatoli Babin - (email), Alexander Figotin - (email)

 Abstract       Full Text      Related Articles

189

On the global smooth solution to 2-D fluid/particle system

Discrete and Continuous Dynamical Systems  Volume 27, Issue 1, Pages : 237 - 263, 2010

Lingbing He - (email)

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190

Exact solitary wave and quasi-periodic wave solutions for four fifth-order nonlinear wave equations

Discrete and Continuous Dynamical Systems - Series B  Volume 13, Issue 3, Pages : 623 - 631, 2010

Jibin Li - (email), Yi Zhang - (email)

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191

Mathematical theory of viscous fluids: Retrospective and future perspectives

Discrete and Continuous Dynamical Systems  Volume 27, Issue 2, Pages : 533 - 555, 2010

Eduard Feireisl - (email)

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192

Global regularity of solutions of coupled Navier-Stokes equations and nonlinear Fokker Planck equations

Discrete and Continuous Dynamical Systems  Volume 26, Issue 4, Pages : 1185 - 1196, 2009

Peter Constantin - (email), Gregory Seregin - (email)

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193

On the initial-value problem to the Degasperis-Procesi equation with linear dispersion

Discrete and Continuous Dynamical Systems  Volume 26, Issue 4, Pages : 1269 - 1290, 2009

Fei Guo - (email), Bao-Feng Feng - (email), Hongjun Gao - (email), Yue Liu - (email)

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194

Stability of the blow-up time and the blow-up set under perturbations

Discrete and Continuous Dynamical Systems  Volume 26, Issue 1, Pages : 43 - 61, 2009

José M. Arrieta - (email), Raúl Ferreira - (email), Arturo de Pablo - (email), Julio D. Rossi - (email)

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195

Looking for critical nonlinearity in the one-dimensional quasilinear Smoluchowski-Poisson system

Discrete and Continuous Dynamical Systems  Volume 26, Issue 2, Pages : 417 - 430, 2009

Tomasz Cieślak - (email), Philippe Laurençot - (email)

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196

The surface diffusion flow on rough phase spaces

Discrete and Continuous Dynamical Systems  Volume 26, Issue 2, Pages : 431 - 453, 2009

Joachim Escher - (email), Piotr B. Mucha - (email)

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197

Geometric singular perturbation analysis of an autocatalator model

Discrete and Continuous Dynamical Systems - Series S  Volume 2, Issue 4, Pages : 783 - 806, 2009

Ilona Gucwa - (email), Peter Szmolyan - (email)

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198

A Sobolev space approach for global solutions to certain semi-linear heat equations in bounded domains

DCDS Supplements  Volume 2009, Issue Special, Pages : 574 - 582, 2009

Jason R. Morris - (email)

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199

Almost cubic nonlinear Schrödinger equation: Existence, uniqueness and scattering

Communications on Pure and Applied Analysis  Volume 8, Issue 6, Pages : 1803 - 1823, 2009

Alp Eden - (email), Elİf Kuz - (email)

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200

Global existence and exponential stability in $H^4$ for the nonlinear compressible Navier-Stokes equations

Communications on Pure and Applied Analysis  Volume 8, Issue 6, Pages : 1991 - 2012, 2009

Yuming Qin - (email), Lan Huang - (email), Zhiyong Ma - (email)

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201

Explosive behavior in spatially discrete reaction-diffusion systems

Discrete and Continuous Dynamical Systems - Series B  Volume 12, Issue 4, Pages : 693 - 711, 2009

Ana Carpio - (email), Gema Duro - (email)

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202

Global existence and blow-up phenomena for a weakly dissipative Degasperis-Procesi equation

Discrete and Continuous Dynamical Systems - Series B  Volume 12, Issue 3, Pages : 633 - 645, 2009

Shuyin Wu - (email), Joachim Escher - (email), Zhaoyang Yin - (email)

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203

The two-dimensional Keller-Segel model after blow-up

Discrete and Continuous Dynamical Systems  Volume 25, Issue 1, Pages : 109 - 121, 2009

Jean Dolbeault - (email), Christian Schmeiser - (email)

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204

Global existence and exponential decay rates for the Westervelt equation

Discrete and Continuous Dynamical Systems - Series S  Volume 2, Issue 3, Pages : 503 - 523, 2009

Barbara Kaltenbacher - (email), Irena Lasiecka - (email)

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205

On existence, uniform decay rates and blow up for solutions of systems of nonlinear wave equations with damping and source terms

Discrete and Continuous Dynamical Systems - Series S  Volume 2, Issue 3, Pages : 583 - 608, 2009

Claudianor O. Alves - (email), M. M. Cavalcanti - (email), Valeria N. Domingos Cavalcanti - (email), Mohammad A. Rammaha - (email), Daniel Toundykov - (email)

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206

The semilinear Klein-Gordon equation in de Sitter spacetime

Discrete and Continuous Dynamical Systems - Series S  Volume 2, Issue 3, Pages : 679 - 696, 2009

Karen Yagdjian - (email)

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207

On scattering for NLS: From Euclidean to hyperbolic space

Discrete and Continuous Dynamical Systems  Volume 24, Issue 4, Pages : 1113 - 1127, 2009

Valeria Banica - (email), Rémi Carles - (email), Thomas Duyckaerts - (email)

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208

Cross-constrained variational methods for the nonlinear Klein-Gordon equations with an inverse square potential

Communications on Pure and Applied Analysis  Volume 8, Issue 5, Pages : 1541 - 1554, 2009

Zaihui Gan - (email)

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209

Sharp threshold of global existence for the generalized Davey-Stewartson system in $R^2$

Communications on Pure and Applied Analysis  Volume 8, Issue 3, Pages : 913 - 922, 2009

Zaihui Gan - (email), Boling Guo - (email), Jian Zhang - (email)

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210

Global existence for nonlinear parabolic equations with a damping term

Communications on Pure and Applied Analysis  Volume 8, Issue 3, Pages : 923 - 953, 2009

Daniela Giachetti - (email), Maria Michaela Porzio - (email)

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211

$L^2$-concentration phenomenon for Zakharov system below energy norm II

Communications on Pure and Applied Analysis  Volume 8, Issue 3, Pages : 1117 - 1132, 2009

Sijia Zhong - (email), Daoyuan Fang - (email)

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212

Remarks on global existence and blowup for damped nonlinear Schrödinger equations

Discrete and Continuous Dynamical Systems  Volume 23, Issue 4, Pages : 1313 - 1325, 2008

Masahoto Ohta - (email), Grozdena Todorova - (email)

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213

Nonlocal heat flows preserving the L2 energy

Discrete and Continuous Dynamical Systems  Volume 23, Issue 1/2, Pages : 49 - 64, 2008

Luis Caffarelli - (email), Fanghua Lin - (email)

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214

Global well-posedness for a transport equation with non-local velocity and critical diffusion

Communications on Pure and Applied Analysis  Volume 7, Issue 5, Pages : 1203 - 1210, 2008

Keyan Wang - (email)

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215

Resonant decompositions and the $I$-method for the cubic nonlinear Schrödinger equation on $\R^2$

Discrete and Continuous Dynamical Systems  Volume 21, Issue 3, Pages : 665 - 686, 2008

J. Colliander - (email), M. Keel - (email), Gigliola Staffilani - (email), H. Takaoka - (email), T. Tao - (email)

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216

The Haar theorem for lattice-ordered abelian groups with order-unit

Discrete and Continuous Dynamical Systems  Volume 21, Issue 2, Pages : 537 - 549, 2008

Daniele Mundici - (email)

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217

Stability of standing waves for a nonlinear Schrödinger equation wdelta potentialith a repulsive Dirac

Discrete and Continuous Dynamical Systems  Volume 21, Issue 1, Pages : 121 - 136, 2008

Reika Fukuizumi - (email), Louis Jeanjean - (email)

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218

The decay of global solutions of a semilinear heat equation

Discrete and Continuous Dynamical Systems  Volume 21, Issue 1, Pages : 307 - 318, 2008

Pavol Quittner - (email)

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219

Global existence and scattering for rough solutions to generalized nonlinear Schrödinger equations on $R$

Communications on Pure and Applied Analysis  Volume 7, Issue 3, Pages : 467 - 489, 2008

J. Colliander - (email), Justin Holmer - (email), Monica Visan - (email), Xiaoyi Zhang - (email)

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220

Global existence for a wave equation on $R^n$

Discrete and Continuous Dynamical Systems - Series S  Volume 1, Issue 1, Pages : 139 - 149, 2007

Perikles G. Papadopoulos - (email), Nikolaos M. Stavrakakis - (email)

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221

Estimates for the life-span of the solutions for some semilinear wave equations

Communications on Pure and Applied Analysis  Volume 7, Issue 2, Pages : 417 - 432, 2007

Meng-Rong Li - (email)

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222

Potential well method for initial boundary value problem of the generalized double dispersion equations

Communications on Pure and Applied Analysis  Volume 7, Issue 1, Pages : 63 - 81, 2007

Yacheng Liu - (email), Runzhang Xu - (email)

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223

Monotonicity properties of the blow-up time for nonlinear Schrödinger equations: Numerical evidence

Discrete and Continuous Dynamical Systems - Series B  Volume 9, Issue 1, Pages : 11 - 36, 2007

Cristophe Besse - (email), Rémi Carles - (email), Norbert J. Mauser - (email), Hans Peter Stimming - (email)

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224

3D convective Cahn--Hilliard equation

Communications on Pure and Applied Analysis  Volume 6, Issue 4, Pages : 1075 - 1086, 2007

Alp Eden - (email), Varga K. Kalantarov - (email)

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225

Nonexistence of global solutions of nonlinear Schrodinger equations in non star-shaped domains

DCDS Supplements  Volume 2007, Issue Special, Pages : 487 - 494, 2007

Takahiro Hashimoto - (email)

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226

Slow soliton interaction with delta impurities

Journal of Modern Dynamics  Volume 1, Issue 4, Pages : 689 - 718, 2007

Justin Holmer - (email), Maciej Zworski - (email)

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227

Sharp global existence and blowing up results for inhomogeneous Schrödinger equations

Discrete and Continuous Dynamical Systems - Series B  Volume 8, Issue 2, Pages : 357 - 367, 2007

Jianqing Chen - (email), Boling Guo - (email)

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228

Global well-posedness for a periodic nonlinear Schrödinger equation in 1D and 2D

Discrete and Continuous Dynamical Systems  Volume 19, Issue 1, Pages : 37 - 65, 2007

Daniela De Silva - (email), Nataša Pavlović - (email), Gigliola Staffilani - (email), Nikolaos Tzirakis - (email)

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229

Nonexistence of locally self-similar blow-up for the 3D incompressible Navier-Stokes equations

Discrete and Continuous Dynamical Systems  Volume 18, Issue 4, Pages : 637 - 642, 2007

Thomas Y. Hou - (email), Ruo Li - (email)

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230

Some remarks on a singular reaction-diffusion system arising in predator-prey modeling

Discrete and Continuous Dynamical Systems - Series B  Volume 8, Issue 1, Pages : 61 - 72, 2007

Sebastién Gaucel - (email), Michel Langlais - (email)

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231

Phase transitions in a coupled viscoelastic system with periodic initial-boundary condition: (I) Existence and uniform boundedness

Discrete and Continuous Dynamical Systems - Series B  Volume 7, Issue 4, Pages : 825 - 837, 2007

Ming Mei - (email), Yau Shu Wong - (email), Liping Liu - (email)

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232

Blow-up behavior for a quasilinear parabolic equation with nonlinear boundary condition

Discrete and Continuous Dynamical Systems  Volume 18, Issue 1, Pages : 71 - 84, 2007

Jong-Shenq Guo - (email)

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233

On small amplitude solutions to the generalized Boussinesq equations

Discrete and Continuous Dynamical Systems  Volume 17, Issue 4, Pages : 691 - 711, 2007

Yonggeun Cho - (email), Tohru Ozawa - (email)

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234

Localization of blow-up points for a nonlinear nonlocal porous medium equation

Communications on Pure and Applied Analysis  Volume 6, Issue 1, Pages : 183 - 190, 2006

Lili Du - (email), Zheng-An Yao - (email)

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235

Global existence for chemotaxis with finite sampling radius

Discrete and Continuous Dynamical Systems - Series B  Volume 7, Issue 1, Pages : 125 - 144, 2006

T. Hillen - (email), K. Painter - (email), Christian Schmeiser - (email)

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236

Wave equations and reaction-diffusion equations with several nonlinear source terms of different sign

Discrete and Continuous Dynamical Systems - Series B  Volume 7, Issue 1, Pages : 171 - 189, 2006

Yacheng Liu - (email), Runzhang Xu - (email)

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237

On a nonlinear Schrödinger equation modelling ultra-short laser pulses with a large noncompact global attractor

Discrete and Continuous Dynamical Systems  Volume 17, Issue 1, Pages : 121 - 132, 2006

Rolci Cipolatti - (email), Otared Kavian - (email)

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238

On the uniqueness of ground state solutions of a semilinear equation containing a weighted Laplacian

Communications on Pure and Applied Analysis  Volume 5, Issue 4, Pages : 813 - 826, 2006

C. Cortázar - (email), Marta García-Huidobro - (email)

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239

Homogenization for a nonlinear wave equation in domains with holes of small capacity

Discrete and Continuous Dynamical Systems  Volume 16, Issue 4, Pages : 721 - 743, 2006

M. M. Cavalcanti - (email), V.N. Domingos Cavalcanti - (email), D. Andrade - (email), T. F. Ma - (email)

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240

Global existence results for complex hyperbolic models of bacterial chemotaxis

Discrete and Continuous Dynamical Systems - Series B  Volume 6, Issue 6, Pages : 1239 - 1260, 2006

Radek Erban - (email), Hyung Ju Hwang - (email)

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241

Quasi-periodic solutions of nonlinear wave equations with a prescribed potential

Discrete and Continuous Dynamical Systems  Volume 16, Issue 3, Pages : 615 - 634, 2006

Xiaoping Yuan - (email)

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242

Blow-up and asymptotic behavior of solutions to a semilinear integrodifferential system

Communications on Pure and Applied Analysis  Volume 5, Issue 3, Pages : 435 - 446, 2006

Qiong Chen - (email), Chunlai Mu - (email), Zhaoyin Xiang - (email)

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243

The study on solutions to Camassa-Holm equation with weak dissipation

Communications on Pure and Applied Analysis  Volume 5, Issue 3, Pages : 483 - 492, 2006

Danping Ding - (email), Lixin Tian - (email), Gang Xu - (email)

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244

Boltzmann equation with external force and Vlasov-Poisson-Boltzmann system in infinite vacuum

Discrete and Continuous Dynamical Systems  Volume 16, Issue 1, Pages : 253 - 277, 2006

Renjun Duan - (email), Tong Yang - (email), Changjiang Zhu - (email)

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245

On two-phase Stefan problem arising from a microwave heating process

Discrete and Continuous Dynamical Systems  Volume 15, Issue 4, Pages : 1155 - 1168, 2006

V. S. Manoranjan - (email), Hong-Ming Yin - (email), R. Showalter - (email)

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246

Quasi-periodic solutions of the equation $v_{t t} - v_{x x} +v^3 = f(v)$

Discrete and Continuous Dynamical Systems  Volume 15, Issue 3, Pages : 883 - 903, 2006

Pietro Baldi - (email)

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247

Small data scattering for the Klein-Gordon equation with cubic convolution nonlinearity

Discrete and Continuous Dynamical Systems  Volume 15, Issue 3, Pages : 973 - 981, 2006

Hironobu Sasaki - (email)

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248

On global well-posedness for a class of nonlocal dispersive wave equations

Discrete and Continuous Dynamical Systems  Volume 15, Issue 2, Pages : 657 - 668, 2006

Luc Molinet - (email), Francis Ribaud - (email)

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249

Global existence of solutions of an activator-inhibitor system

Discrete and Continuous Dynamical Systems  Volume 14, Issue 4, Pages : 737 - 751, 2006

Huiqiang Jiang - (email)

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250

Lindstedt series for periodic solutions of beam equations with quadratic and velocity dependent nonlinearities

Communications on Pure and Applied Analysis  Volume 5, Issue 1, Pages : 1 - 28, 2005

V. Mastropietro - (email), Michela Procesi - (email)

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251

Existence and nonexistence results for a class of parabolic equations with mixed boundary conditions

Communications on Pure and Applied Analysis  Volume 5, Issue 1, Pages : 29 - 54, 2005

B. Abdellaoui - (email), E. Colorado - (email), I. Peral - (email)

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252

On the uniqueness of ground state solutions of a semilinear equation containing a weighted Laplacian

Communications on Pure and Applied Analysis  Volume 5, Issue 1, Pages : 71 - 84, 2005

C. Cortázar - (email), Marta García-Huidobro - (email)

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253

Dirichlet boundary conditions can prevent blow-up in reaction-diffusion equations and systems

Discrete and Continuous Dynamical Systems  Volume 14, Issue 1, Pages : 63 - 74, 2005

Marek Fila - (email), Hirokazu Ninomiya - (email), Juan-Luis Vázquez - (email)

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254

Global existence and blow-up to a reaction-diffusion system with nonlinear memory

Communications on Pure and Applied Analysis  Volume 4, Issue 4, Pages : 721 - 733, 2005

Lili Du - (email), Chunlai Mu - (email), Zhaoyin Xiang - (email)

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255

Some special solutions of the multidimensional Euler equations in $R^N$

Communications on Pure and Applied Analysis  Volume 4, Issue 4, Pages : 757 - 762, 2005

Tianhong Li - (email)

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256

Non-simultaneous blow-up for a quasilinear parabolic system with reaction at the boundary

Communications on Pure and Applied Analysis  Volume 4, Issue 3, Pages : 523 - 536, 2005

C. Brändle - (email), F. Quirós - (email), Julio D. Rossi - (email)

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257

Quasi-periodic solutions for completely resonant non-linear wave equations in 1D and 2D

Discrete and Continuous Dynamical Systems  Volume 13, Issue 3, Pages : 541 - 552, 2005

Michela Procesi - (email)

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258

Global existence results for nonlinear Schrödinger equations with quadratic potentials

Discrete and Continuous Dynamical Systems  Volume 13, Issue 2, Pages : 385 - 398, 2005

Rémi Carles - (email)

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259

Instability of bound states for 2D nonlinear Schrödinger equations

Discrete and Continuous Dynamical Systems  Volume 13, Issue 2, Pages : 413 - 428, 2005

Tetsu Mizumachi - (email)

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260

Drift-diffusion limits of kinetic models for chemotaxis: A generalization

Discrete and Continuous Dynamical Systems - Series B  Volume 5, Issue 2, Pages : 319 - 334, 2005

H.J. Hwang - (email), K. Kang - (email), A. Stevens - (email)

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261

Global well-posedness of the viscous Boussinesq equations

Discrete and Continuous Dynamical Systems  Volume 12, Issue 1, Pages : 1 - 12, 2004

Thomas Y. Hou - (email), Congming Li - (email)

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262

Global existence of solutions to a cross-diffusion system in higher dimensional domains

Discrete and Continuous Dynamical Systems  Volume 12, Issue 2, Pages : 185 - 192, 2004

Yi Li - (email), Chunshan Zhao - (email)

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263

Strong instability of standing waves for nonlinear Klein-Gordon equations

Discrete and Continuous Dynamical Systems  Volume 12, Issue 2, Pages : 315 - 322, 2004

Masahito Ohta - (email), Grozdena Todorova - (email)

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264

A reaction-diffusion system modeling direct and indirect transmission of diseases

Discrete and Continuous Dynamical Systems - Series B  Volume 4, Issue 4, Pages : 893 - 910, 2004

W. E. Fitzgibbon - (email), M. Langlais - (email), J.J. Morgan - (email)

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265

A mathematical model for the propagation of a hantavirus in structured populations

Discrete and Continuous Dynamical Systems - Series B  Volume 4, Issue 4, Pages : 1065 - 1089, 2004

Cédric Wolf - (email)

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266

Well-posedness, blowup, and global existence for an integrable shallow water equation

Discrete and Continuous Dynamical Systems  Volume 11, Issue 2/3, Pages : 393 - 411, 2004

Zhaoyang Yin - (email)

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267

Convergence of Lindstedt series for the non linear wave equation

Communications on Pure and Applied Analysis  Volume 3, Issue 3, Pages : 509 - 514, 2004

G. Gentile - (email), V. Mastropietro - (email)

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268

Existence of global solutions for the Shigesada-Kawasaki-Teramoto model with strongly coupled cross-diffusion

Discrete and Continuous Dynamical Systems  Volume 10, Issue 3, Pages : 719 - 730, 2004

Y. S. Choi - (email), Roger Lui - (email), Yoshio Yamada - (email)

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269

Qualitative analysis of a nonlinear wave equation

Discrete and Continuous Dynamical Systems  Volume 10, Issue 3, Pages : 787 - 804, 2004

Jorge A. Esquivel-Avila - (email)

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270

On quasilinear elliptic equations related to some Caffarelli-Kohn-Nirenberg inequalities

Communications on Pure and Applied Analysis  Volume 2, Issue 4, Pages : 539 - 566, 2003

B. Abdellaoui - (email), I. Peral - (email)

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271

Global existence and blow-up of solutions to a nonlocal reaction-diffusion system

Discrete and Continuous Dynamical Systems  Volume 9, Issue 6, Pages : 1519 - 1532, 2003

Shu-Xiang Huang - (email), Fu-Cai Li - (email), Chun-Hong Xie - (email)

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272

On the Lyapunov functions for the solutions of the generalized Burgers equation

Communications on Pure and Applied Analysis  Volume 2, Issue 3, Pages : 391 - 410, 2003

Ezzeddine Zahrouni - (email)

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273

Existence of global solutions for the Shigesada-Kawasaki-Teramoto model with weak cross-diffusion

Discrete and Continuous Dynamical Systems  Volume 9, Issue 5, Pages : 1193 - 1200, 2003

Y. S. Choi - (email), Roger Lui - (email), Yoshio Yamada - (email)

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274

Evolution equations and subdifferentials in Banach spaces

DCDS Supplements  Volume 2003, Issue Special, Pages : 11 - 20, 2003

Goro Akagi - (email), Mitsuharu Ôtani - (email)

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275

Oscillatory blow-up in nonlinear second order ODE's: The critical case

Discrete and Continuous Dynamical Systems  Volume 9, Issue 3, Pages : 577 - 584, 2003

Mikhaël Balabane - (email), Mustapha Jazar - (email), Philippe Souplet - (email)

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276

Global existence and asymptotic behavior of small solutions for semilinear dissipative wave equations

Discrete and Continuous Dynamical Systems  Volume 9, Issue 3, Pages : 651 - 662, 2003

Kosuke Ono - (email)

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277

Ignition and propagation in an integro-differential model for spherical flames

Discrete and Continuous Dynamical Systems - Series B  Volume 2, Issue 3, Pages : 379 - 387, 2002

Jean-Michel Roquejoffre - (email), Juan-Luis Vázquez - (email)

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278

Numerical approximation of a parabolic problem with a nonlinear boundary condition in several space dimensions

Discrete and Continuous Dynamical Systems - Series B  Volume 2, Issue 2, Pages : 279 - 294, 2002

G. Acosta - (email), Julián Fernández Bonder - (email), P. Groisman - (email), J.D. Rossi - (email)

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279

The problem Of blow-up in nonlinear parabolic equations

Discrete and Continuous Dynamical Systems  Volume 8, Issue 2, Pages : 399 - 433, 2002

Victor A. Galaktionov - (email), Juan-Luis Vázquez - (email)

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280

O.D.E. type behavior of blow-up solutions of nonlinear heat equations

Discrete and Continuous Dynamical Systems  Volume 8, Issue 2, Pages : 435 - 450, 2002

Frank Merle - (email), Hatem Zaag - (email)

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281

The nonlinear Schrödinger equation as a resonant normal form

Discrete and Continuous Dynamical Systems - Series B  Volume 2, Issue 1, Pages : 109 - 128, 2001

Dario Bambusi - (email), A. Carati - (email), A. Ponno - (email)

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282

Large time decay estimates of solutions of nonlinear parabolic equations

Discrete and Continuous Dynamical Systems  Volume 8, Issue 1, Pages : 69 - 114, 2001

Huijiang Zhao - (email)

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283

On Maxwell's system with a thermal effect

Discrete and Continuous Dynamical Systems - Series B  Volume 1, Issue 4, Pages : 485 - 494, 2001

J. J. Morgan - (email), Hong-Ming Yin - (email)

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284

Stability and instability of standing waves for the nonlinear Schrödinger equation with harmonic potential

Discrete and Continuous Dynamical Systems  Volume 7, Issue 3, Pages : 525 - 544, 2001

Reika Fukuizumi - (email)

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285

Connecting equilibria by blow-up solutions

Discrete and Continuous Dynamical Systems  Volume 6, Issue 1, Pages : 155 - 164, 1999

Marek Fila - (email), Hiroshi Matano - (email)

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286

Vortices for the nonlinear wave equation

Discrete and Continuous Dynamical Systems  Volume 5, Issue 2, Pages : 391 - 398, 1999

Tai-Chia Lin - (email)

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287

The Cauchy problem for nonlinear wave equations in the Sobolev space of critical order

Discrete and Continuous Dynamical Systems  Volume 5, Issue 1, Pages : 215 - 231, 1998

M. Nakamura - (email), Tohru Ozawa - (email)

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288

On the global existence of a cross-diffusion system

Discrete and Continuous Dynamical Systems  Volume 4, Issue 2, Pages : 193 - 203, 1998

Yuan Lou - (email), Wei-Ming Ni - (email), Yaping Wu - (email)

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289

Asymptotic behavior in time of solutions to the derivative nonlinear Schrödinger equation revisited

Discrete and Continuous Dynamical Systems  Volume 3, Issue 3, Pages : 383 - 400, 1997

Nakao Hayashi - (email), Pavel I. Naumkin - (email)

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290

Existence and blow up of small amplitude nonlinear waves with a negative potential

Discrete and Continuous Dynamical Systems  Volume 3, Issue 2, Pages : 175 - 188, 1997

Walter A. Strauss - (email), Kimitoshi Tsutaya - (email)

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291

Interior derivative blow-up for quasilinear parabolic equations

Discrete and Continuous Dynamical Systems  Volume 1, Issue 3, Pages : 449 - 461, 1995

Yoshikazu Giga - (email)

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292

Large time decay estimates of solutions of nonlinear parabolic equations

Discrete and Continuous Dynamical Systems  Volume 1, Issue 3, Pages : 69 - 114,

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293

Global solutions of the equations of elastodynamics for incompressible materials

Electronic Research Announcements of the AMS  Volume 2, Issue 0, Pages : 50 - 59,

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