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Stability and instability of solutions to the drift-diffusion system

Evolution Equations and Control Theory  Volume 6, Issue 4, Pages : 587 - 597, 2017

Takayoshi Ogawa - (email), Hiroshi Wakui - (email)

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Long-time dynamics for a class of extensible beams with nonlocal nonlinear damping

Evolution Equations and Control Theory  Volume 6, Issue 3, Pages : 437 - 470, 2017

Marcio Antonio Jorge da Silva - (email), Vando Narciso - (email)

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The 3D liquid crystal system with Cannone type initial data and large vertical velocity

Discrete and Continuous Dynamical Systems  Volume 37, Issue 11, Pages : 5521 - 5539, 2017

Renhui Wan - (email)

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Well-posed Bayesian inverse problems and heavy-tailed stable quasi-Banach space priors

Inverse Problems and Imaging  Volume 11, Issue 5, Pages : 857 - 874, 2017

T. J. Sullivan - (email)

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Strichartz estimates for Schrödinger equations in weighted $L^2$ spaces and their applications

Discrete and Continuous Dynamical Systems  Volume 37, Issue 9, Pages : 4877 - 4906, 2017

Youngwoo Koh - (email), Ihyeok Seo - (email)

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Stress-diffusive regularizations of non-dissipative rate-type materials

Discrete and Continuous Dynamical Systems - Series S  Volume 10, Issue 6, Pages : 1233 - 1256, 2017

Jan Burczak - (email), Josef Málek - (email), Piotr Minakowski - (email)

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Local well-posedness for 2-D Schrödinger equation on irrational tori and bounds on Sobolev norms

Communications on Pure and Applied Analysis  Volume 16, Issue 5, Pages : 1517 - 1530, 2017

Seckin Demirbas - (email)

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A surface model of nonlinear, non-steady-state phloem transport

Mathematical Biosciences and Engineering  Volume 14, Issue 4, Pages : 1055 - 1069, 2017

Youcef Mammeri - (email), Damien Sellier - (email)

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Analysis of a Cahn--Hilliard system with non-zero Dirichlet conditions modeling tumor growth with chemotaxis

Discrete and Continuous Dynamical Systems  Volume 37, Issue 8, Pages : 4277 - 4308, 2017

Harald Garcke - (email), Kei Fong Lam - (email)

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Analysis of a nonlocal-in-time parabolic equation

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 2, Pages : 339 - 368, 2016

Qiang Du - (email), Jiang Yang - (email), Zhi Zhou - (email)

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Dynamical canonical systems and their explicit solutions

Discrete and Continuous Dynamical Systems  Volume 37, Issue 3, Pages : 1679 - 1689, 2016

Alexander Sakhnovich - (email)

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Global well-posedness for the 3D Zakharov-Kuznetsov equation in energy space $H^1$

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Zhaohi Huo - (email), Yueling Jia - (email), Qiaoxin Li - (email)

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Local and global well-posedness results for the Benjamin-Ono-Zakharov-Kuznetsov equation

Discrete and Continuous Dynamical Systems  Volume 37, Issue 1, Pages : 449 - 483, 2016

Francis Ribaud - (email), Stéphane Vento - (email)

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Stability estimates for Navier-Stokes equations and application to inverse problems

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 8, Pages : 2379 - 2407, 2016

Mehdi Badra - (email), Fabien Caubet - (email), Jérémi Dardé - (email)

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Sharp well-posedness for the Chen-Lee equation

Communications on Pure and Applied Analysis  Volume 15, Issue 6, Pages : 2179 - 2202, 2016

Ricardo A. Pastrán - (email), Oscar G. Riaño - (email)

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Well-posedness for the Cauchy problem of the Klein-Gordon-Zakharov system in four and more spatial dimensions

Communications on Pure and Applied Analysis  Volume 15, Issue 6, Pages : 2247 - 2280, 2016

Isao Kato - (email)

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The shape derivative for an optimization problem in lithotripsy

Evolution Equations and Control Theory  Volume 5, Issue 3, Pages : 399 - 430, 2016

Barbara Kaltenbacher - (email), Gunther Peichl - (email)

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Longtime behavior of the semilinear wave equation with gentle dissipation

Discrete and Continuous Dynamical Systems  Volume 36, Issue 11, Pages : 6557 - 6580, 2016

Zhijian Yang - (email), Zhiming Liu - (email), Na Feng - (email)

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Distributionally chaotic families of operators on Fréchet spaces

Communications on Pure and Applied Analysis  Volume 15, Issue 5, Pages : 1915 - 1939, 2016

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Well-posedness and optimal control of a hemivariational inequality for nonstationary Stokes fluid flow

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Changjie Fang - (email), Weimin Han - (email)

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On one dimensional quantum Zakharov system

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Jin-Cheng Jiang - (email), Chi-Kun Lin - (email), Shuanglin Shao - (email)

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On the global well-posedness to the 3-D incompressible anisotropic magnetohydrodynamics equations

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Gaocheng Yue - (email), Chengkui Zhong - (email)

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On the global well-posedness to the 3-D Navier-Stokes-Maxwell system

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Gaocheng Yue - (email), Chengkui Zhong - (email)

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Partial exact controllability for inhomogeneous multidimensional thermoelastic diffusion problem

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Moncef Aouadi - (email), Kaouther Boulehmi - (email)

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On the viscous Cahn-Hilliard-Navier-Stokes equations with dynamic boundary conditions

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Laurence Cherfils - (email), Madalina Petcu - (email)

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Existence of solutions for anisotropic Cahn-Hilliard and Allen-Cahn systems in higher space dimensions

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Strong solutions of quasilinear equations in Banach spaces not solvable with respect to the highest-order derivative

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Global well-posedness and asymptotic behavior of solutions to a reaction-convection-diffusion cholera epidemic model

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Well-posedness and scattering for fourth order nonlinear Schrödinger type equations at the scaling critical regularity

Communications on Pure and Applied Analysis  Volume 15, Issue 3, Pages : 831 - 851, 2016

Hiroyuki Hirayama - (email), Mamoru Okamoto - (email)

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Global well-posedness for a fourth order pseudo-parabolic equation with memory and source terms

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Huafei Di - (email), Yadong Shang - (email), Xiaoxiao Zheng - (email)

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Boundary value problem for a phase transition model

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Large time behavior of solutions for a nonlinear damped wave equation

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On the Swift-Hohenberg equation with slow and fast dynamics: well-posedness and long-time behavior

Communications on Pure and Applied Analysis  Volume 15, Issue 1, Pages : 219 - 241, 2015

Andrea Giorgini - (email)

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On local existence of MHD contact discontinuities

Discrete and Continuous Dynamical Systems - Series S  Volume 9, Issue 1, Pages : 289 - 313, 2015

Alessandro Morando - (email), Yuri Trakhinin - (email), Paola Trebeschi - (email)

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Global solution to the 3D nonhomogeneous incompressible MHD equations with some large initial data

Discrete and Continuous Dynamical Systems  Volume 36, Issue 6, Pages : 2945 - 2967, 2015

Fei Chen - (email), Yongsheng Li - (email), Huan Xu - (email)

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Global attractors for the Gray-Scott equations in locally uniform spaces

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 1, Pages : 337 - 356, 2015

Gaocheng Yue - (email), Chengkui Zhong - (email)

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On the Cauchy problem for the Schrödinger-Hartree equation

Evolution Equations and Control Theory  Volume 4, Issue 4, Pages : 431 - 445, 2015

Binhua Feng - (email), Xiangxia Yuan - (email)

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Mathematics of nonlinear acoustics

Evolution Equations and Control Theory  Volume 4, Issue 4, Pages : 447 - 491, 2015

Barbara Kaltenbacher - (email)

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Remark on a semirelativistic equation in the energy space

DCDS Supplements  Volume 2015, Issue special, Pages : 473 - 478, 2015

Kazumasa Fujiwara - (email), Shuji Machihara - (email), Tohru Ozawa - (email)

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Remarks on a dispersive equation in de Sitter spacetime

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Makoto Nakamura - (email)

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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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On inhomogeneous Strichartz estimates for fractional Schrödinger equations and their applications

Discrete and Continuous Dynamical Systems  Volume 36, Issue 4, Pages : 1905 - 1926, 2015

Chu-Hee Cho - (email), Youngwoo Koh - (email), Ihyeok Seo - (email)

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On the Cauchy problem for the Boltzmann equation in Chemin-Lerner type spaces

Discrete and Continuous Dynamical Systems  Volume 36, Issue 4, Pages : 2229 - 2256, 2015

Hao Tang - (email), Zhengrong Liu - (email)

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PDE-constrained optimal control approach for the approximation of an inverse Cauchy problem

Inverse Problems and Imaging  Volume 9, Issue 3, Pages : 791 - 814, 2015

Lili Chang - (email), Wei Gong - (email), Guiquan Sun - (email), Ningning Yan - (email)

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The Cauchy problem for a nonlinear elliptic equation: Nash-game approach and application to image inpainting

Inverse Problems and Imaging  Volume 9, Issue 3, Pages : 853 - 874, 2015

Moez Kallel - (email), Maher Moakher - (email), Anis Theljani - (email)

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Global well-posedness for the 3-D incompressible MHD equations in the critical Besov spaces

Communications on Pure and Applied Analysis  Volume 14, Issue 5, Pages : 1865 - 1884, 2015

Xiaoping Zhai - (email), Yongsheng Li - (email), Wei Yan - (email)

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Well-posedness for the 3D incompressible nematic liquid crystal system in the critical $L^p$ framework

Discrete and Continuous Dynamical Systems  Volume 36, Issue 1, Pages : 371 - 402, 2015

Qiao Liu - (email), Ting Zhang - (email), Jihong Zhao - (email)

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Stochastic Korteweg-de Vries equation driven by fractional Brownian motion

Discrete and Continuous Dynamical Systems  Volume 35, Issue 11, Pages : 5255 - 5272, 2015

Guolian Wang - (email), Boling Guo - (email)

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Relating systems properties of the wave and the Schrödinger equation

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Hans Zwart - (email), Yann Le Gorrec - (email), Bernhard Maschke - (email)

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Well-posedness and ill-posedness results for the regularized Benjamin-Ono equation in weighted Sobolev spaces

Communications on Pure and Applied Analysis  Volume 14, Issue 4, Pages : 1327 - 1341, 2015

G. Fonseca - (email), G. Rodríguez-Blanco - (email), W. Sandoval - (email)

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On a system of semirelativistic equations in the energy space

Communications on Pure and Applied Analysis  Volume 14, Issue 4, Pages : 1343 - 1355, 2015

Kazumasa Fujiwara - (email), Shuji Machihara - (email), Tohru Ozawa - (email)

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Remarks on the full dispersion Davey-Stewartson systems

Communications on Pure and Applied Analysis  Volume 14, Issue 4, Pages : 1547 - 1561, 2015

Caroline Obrecht - (email), J.-C. Saut - (email)

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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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Well-posedness and ill-posedness for the cubic fractional Schrödinger equations

Discrete and Continuous Dynamical Systems  Volume 35, Issue 7, Pages : 2863 - 2880, 2015

Yonggeun Cho - (email), Gyeongha Hwang - (email), Soonsik Kwon - (email), Sanghyuk Lee - (email)

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Some well-posedness and stability results for abstract hyperbolic equations with infinite memory and distributed time delay

Communications on Pure and Applied Analysis  Volume 14, Issue 2, Pages : 457 - 491, 2014

Aissa Guesmia - (email), Nasser-eddine Tatar - (email)

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Homogenization of a thermo-diffusion system with Smoluchowski interactions

Networks and Heterogeneous Media  Volume 9, Issue 4, Pages : 739 - 762, 2014

Oleh Krehel - (email), Toyohiko Aiki - (email), Adrian Muntean - (email)

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Corrigendum of "Local well-posedness for the nonlinear Dirac equation in two space dimensions"

Communications on Pure and Applied Analysis  Volume 14, Issue 2, Pages : 737 - 742, 2014

Hartmut Pecher - (email)

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Stability of the stationary solution of the cauchy problem to a semiconductor full hydrodynamic model with recombination-generation rate

Kinetic and Related Models  Volume 8, Issue 1, Pages : 117 - 151, 2014

Haifeng Hu - (email), Kaijun Zhang - (email)

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On a Cahn-Hilliard type phase field system related to tumor growth

Discrete and Continuous Dynamical Systems  Volume 35, Issue 6, Pages : 2423 - 2442, 2014

Pierluigi Colli - (email), Gianni Gilardi - (email), Danielle Hilhorst - (email)

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Basic stage structure measure valued evolutionary game model

Mathematical Biosciences and Engineering  Volume 12, Issue 2, Pages : 291 - 310, 2014

John Cleveland - (email)

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On the Cauchy problem for a generalized Camassa-Holm equation

Discrete and Continuous Dynamical Systems  Volume 35, Issue 3, Pages : 871 - 889, 2014

Defu Chen - (email), Yongsheng Li - (email), Wei Yan - (email)

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Well-posedness and asymptotic stability for the Lamé system with infinite memories in a bounded domain

Mathematical Control and Related Fields  Volume 4, Issue 4, Pages : 451 - 463, 2014

Ahmed Bchatnia - (email), Aissa Guesmia - (email)

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Analysis and simulation for an isotropic phase-field model describing grain growth

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 7, Pages : 2227 - 2246, 2014

Maciek D. Korzec - (email), Hao Wu - (email)

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Thresholds for shock formation in traffic flow models with Arrhenius look-ahead dynamics

Discrete and Continuous Dynamical Systems  Volume 35, Issue 1, Pages : 323 - 339, 2014

Yongki Lee - (email), Hailiang Liu - (email)

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Global well-posedness for the dissipative system modeling electro-hydrodynamics with large vertical velocity component in critical Besov space

Discrete and Continuous Dynamical Systems  Volume 35, Issue 1, Pages : 555 - 582, 2014

Jihong Zhao - (email), Ting Zhang - (email), Qiao Liu - (email)

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Interaction of an elastic plate with a linearized inviscid incompressible fluid

Communications on Pure and Applied Analysis  Volume 13, Issue 5, Pages : 1759 - 1778, 2014

I. D. Chueshov - (email)

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Asymptotic behavior of the conserved Caginalp phase-field system based on the Maxwell-Cattaneo law

Communications on Pure and Applied Analysis  Volume 13, Issue 5, Pages : 1971 - 1987, 2014

Alain Miranville - (email)

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Global strong solution to the initial-boundary value problem of a 2-D Kazhikhov-Smagulov type model

Discrete and Continuous Dynamical Systems - Series S  Volume 7, Issue 5, Pages : 917 - 923, 2014

Xiaoyun Cai - (email), Liangwen Liao - (email), Yongzhong Sun - (email)

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Flow-plate interactions: Well-posedness and long-time behavior

Discrete and Continuous Dynamical Systems - Series S  Volume 7, Issue 5, Pages : 925 - 965, 2014

Igor Chueshov - (email), Irena Lasiecka - (email), Justin Webster - (email)

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On one multidimensional compressible nonlocal model of the dissipative QG equations

Discrete and Continuous Dynamical Systems - Series S  Volume 7, Issue 5, Pages : 1111 - 1132, 2014

Shu Wang - (email), Zhonglin Wu - (email), Linrui Li - (email), Shengtao Chen - (email)

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71

Well-posedness and asymptotic behavior of solutions for the Blackstock-Crighton-Westervelt equation

Discrete and Continuous Dynamical Systems  Volume 34, Issue 11, Pages : 4515 - 4535, 2014

Rainer Brunnhuber - (email), Barbara Kaltenbacher - (email)

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On ill-posedness for the generalized BBM equation

Discrete and Continuous Dynamical Systems  Volume 34, Issue 11, Pages : 4565 - 4576, 2014

Xavier Carvajal - (email), Mahendra Panthee - (email)

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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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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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Existence and asymptotic behaviour for solutions of dynamical equilibrium systems

Evolution Equations and Control Theory  Volume 3, Issue 1, Pages : 1 - 14, 2014

Zaki Chbani - (email), Hassan Riahi - (email)

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Well-posedness for degenerate Schrödinger equations

Evolution Equations and Control Theory  Volume 3, Issue 1, Pages : 15 - 33, 2014

Massimo Cicognani - (email), Michael Reissig - (email)

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A note on the Chern-Simons-Dirac equations in the Coulomb gauge

Discrete and Continuous Dynamical Systems  Volume 34, Issue 7, Pages : 2693 - 2701, 2013

Nikolaos Bournaveas - (email), Timothy Candy - (email), Shuji Machihara - (email)

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Uniqueness and Hölder type stability of continuation for the linear thermoelasticity system with residual stress

Evolution Equations and Control Theory  Volume 2, Issue 4, Pages : 679 - 693, 2013

Nanhee Kim - (email)

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Global existence and asymptotic behavior of measure valued solutions to the kinetic Kuramoto--Daido model with inertia

Networks and Heterogeneous Media  Volume 8, Issue 4, Pages : 943 - 968, 2013

Young-Pil Choi - (email), Seung-Yeal Ha - (email), Seok-Bae Yun - (email)

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Coupling of microscopic and phase transition models at boundary

Networks and Heterogeneous Media  Volume 8, Issue 3, Pages : 649 - 661, 2013

Mauro Garavello - (email), Benedetto Piccoli - (email)

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Well-posedness for the supercritical gKdV equation

Communications on Pure and Applied Analysis  Volume 13, Issue 2, Pages : 527 - 542, 2013

Nils Strunk - (email)

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Local well-posedness for the nonlinear Dirac equation in two space dimensions

Communications on Pure and Applied Analysis  Volume 13, Issue 2, Pages : 673 - 685, 2013

Hartmut Pecher - (email)

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The Fourier restriction norm method for the Zakharov-Kuznetsov equation

Discrete and Continuous Dynamical Systems  Volume 34, Issue 5, Pages : 2061 - 2068, 2013

Axel Grünrock - (email), Sebastian Herr - (email)

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Some mathematical models in phase transition

Discrete and Continuous Dynamical Systems - Series S  Volume 7, Issue 2, Pages : 271 - 306, 2013

Alain Miranville - (email)

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Local Well-posedness and Persistence Property for the Generalized Novikov Equation

Discrete and Continuous Dynamical Systems  Volume 34, Issue 2, Pages : 803 - 820, 2013

Yongye Zhao - (email), Yongsheng Li - (email), Wei Yan - (email)

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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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Global well-posedness of some high-order semilinear wave and Schrödinger type equations with exponential nonlinearity

Communications on Pure and Applied Analysis  Volume 13, Issue 1, Pages : 273 - 291, 2013

Tarek Saanouni - (email)

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Longtime behavior of nonlocal Cahn-Hilliard equations

Discrete and Continuous Dynamical Systems  Volume 34, Issue 1, Pages : 145 - 179, 2013

Ciprian G. Gal - (email), Maurizio Grasselli - (email)

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Nonlocal phase-field systems with general potentials

Discrete and Continuous Dynamical Systems  Volume 33, Issue 11/12, Pages : 5089 - 5106, 2013

Maurizio Grasselli - (email), Giulio Schimperna - (email)

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Analysis of a scalar nonlocal peridynamic model with a sign changing kernel

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 5, Pages : 1415 - 1437, 2013

Tadele Mengesha - (email), Qiang Du - (email)

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Compositions of passive boundary control systems

Mathematical Control and Related Fields  Volume 3, Issue 1, Pages : 1 - 19, 2013

Atte Aalto - (email), Jarmo Malinen - (email)

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Sobolev metrics on shape space, II: Weighted Sobolev metrics and almost local metrics

Journal of Geometric Mechanics  Volume 4, Issue 4, Pages : 365 - 383, 2013

Martin Bauer - (email), Philipp Harms - (email), Peter W. Michor - (email)

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The Fractional Ginzburg-Landau equation with distributional initial data

Communications on Pure and Applied Analysis  Volume 12, Issue 5, Pages : 2173 - 2187, 2013

Jingna Li - (email), Li Xia - (email)

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94

On the Stokes approximation equations for two-dimensional compressible flows

Kinetic and Related Models  Volume 6, Issue 1, Pages : 205 - 218, 2012

Qing Yi - (email)

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95

On mathematical contributions of Petr Petrovich Zabreĭko

Discrete and Continuous Dynamical Systems - Series S  Volume 6, Issue 4, Pages : 837 - 860, 2012

Zalman Balanov - (email), I. Gaishun - (email), V. Gorohovik - (email), Wieslaw Krawcewicz - (email), A. Lebedev - (email)

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96

Global well-posedness of the Chern-Simons-Higgs equations with finite energy

Discrete and Continuous Dynamical Systems  Volume 33, Issue 6, Pages : 2531 - 2546, 2012

Sigmund Selberg - (email), Achenef Tesfahun - (email)

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97

A Cahn-Hilliard-Gurtin model with dynamic boundary conditions

Discrete and Continuous Dynamical Systems - Series S  Volume 6, Issue 2, Pages : 387 - 400, 2012

Gisèle Ruiz Goldstein - (email), Alain Miranville - (email)

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98

On the temporal decay estimates for the degenerate parabolic system

Communications on Pure and Applied Analysis  Volume 12, Issue 4, Pages : 1755 - 1768, 2012

Tariel Sanikidze - (email), A.F. Tedeev - (email)

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99

On existence and uniqueness classes for the Cauchy problem for parabolic equations of the p-Laplace type

Communications on Pure and Applied Analysis  Volume 12, Issue 4, Pages : 1783 - 1812, 2012

Mikhail D. Surnachev - (email), Vasily V. Zhikov - (email)

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100

Well-posedness for a modified two-component Camassa-Holm system in critical spaces

Discrete and Continuous Dynamical Systems  Volume 33, Issue 4, Pages : 1699 - 1712, 2012

Kai Yan - (email), Zhaoyang Yin - (email)

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101

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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102

Global well-posedness for the Kawahara equation with low regularity

Communications on Pure and Applied Analysis  Volume 12, Issue 3, Pages : 1321 - 1339, 2012

Takamori Kato - (email)

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103

Carleman estimates for some anisotropic elasticity systems and applications

Evolution Equations and Control Theory  Volume 1, Issue 1, Pages : 141 - 154, 2012

Victor Isakov - (email)

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104

On well-posedness of incompressible two-phase flows with phase transitions: The case of equal densities

Evolution Equations and Control Theory  Volume 1, Issue 1, Pages : 171 - 194, 2012

Jan Prüss - (email), Yoshihiro Shibata - (email), Senjo Shimizu - (email), Gieri Simonett - (email)

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105

Hyperbolic Navier-Stokes equations I: Local well-posedness

Evolution Equations and Control Theory  Volume 1, Issue 1, Pages : 195 - 215, 2012

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

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106

Instability of coupled systems with delay

Communications on Pure and Applied Analysis  Volume 11, Issue 5, Pages : 1753 - 1773, 2012

Reinhard Racke - (email)

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107

Solvability and asymptotic analysis of a generalization of the Caginalp phase field system

Communications on Pure and Applied Analysis  Volume 11, Issue 5, Pages : 1959 - 1982, 2012

Giacomo Canevari - (email), Pierluigi Colli - (email)

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108

Analysis of a Burgers equation with singular resonant source term and convergence of well-balanced schemes

Discrete and Continuous Dynamical Systems  Volume 32, Issue 6, Pages : 1939 - 1964, 2012

Boris Andreianov - (email), Nicolas Seguin - (email)

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109

On the numerical solution of a Cauchy problem for the Laplace equation via a direct integral equation approach

Inverse Problems and Imaging  Volume 6, Issue 1, Pages : 25 - 38, 2012

Roman Chapko - (email), B. Tomas Johansson - (email)

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110

Sobolev metrics on shape space of surfaces

Journal of Geometric Mechanics  Volume 3, Issue 4, Pages : 389 - 438, 2012

Martin Bauer - (email), Philipp Harms - (email), Peter W. Michor - (email)

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111

Well-posedness of a model for water waves with viscosity

Discrete and Continuous Dynamical Systems - Series B  Volume 17, Issue 4, Pages : 1113 - 1137, 2012

David M. Ambrose - (email), Jerry L. Bona - (email), David P. Nicholls - (email)

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112

Low regularity well-posedness for the 3D Klein - Gordon - Schrödinger system

Communications on Pure and Applied Analysis  Volume 11, Issue 3, Pages : 1081 - 1096, 2011

Hartmut Pecher - (email)

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113

Remarks on a two dimensional BBM type equation

Communications on Pure and Applied Analysis  Volume 11, Issue 3, Pages : 1111 - 1127, 2011

Amin Esfahani - (email)

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114

Cauchy problem for a class of nondiagonalizable hyperbolic systems

DCDS Supplements  Volume 2011, Issue Special, Pages : 533 - 542, 2011

Todor Gramchev - (email), Nicola Orrú - (email)

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115

Anisotropic Gevrey regularity for mKdV on the circle

DCDS Supplements  Volume 2011, Issue Special, Pages : 634 - 642, 2011

Heather Hannah - (email), A. Alexandrou Himonas - (email), Gerson Petronilho - (email)

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116

Remarks on certain singular perturbations with ill-posed limit in shell theory and elasticity

Discrete and Continuous Dynamical Systems  Volume 31, Issue 4, Pages : 1293 - 1305, 2011

Youri V. Egorov - (email), Evariste Sanchez-Palencia - (email)

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117

On well-posedness of the Degasperis-Procesi equation

Discrete and Continuous Dynamical Systems  Volume 31, Issue 2, Pages : 469 - 488, 2011

A. Alexandrou Himonas - (email), Curtis Holliman - (email)

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118

A rate-independent model for permanent inelastic effects in shape memory materials

Networks and Heterogeneous Media  Volume 6, Issue 1, Pages : 145 - 165, 2011

Michela Eleuteri - (email), Luca Lussardi - (email), Ulisse Stefanelli - (email)

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119

Uniqueness and nonuniqueness of solutions to parabolic problems with singular coefficients

Discrete and Continuous Dynamical Systems  Volume 30, Issue 3, Pages : 891 - 916, 2011

Maria Assunta Pozio - (email), Fabio Punzo - (email), Alberto Tesei - (email)

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120

On the ill-posedness result for the BBM equation

Discrete and Continuous Dynamical Systems  Volume 30, Issue 1, Pages : 253 - 259, 2011

Mahendra Panthee - (email)

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121

Well-posedness and stability analysis for a moving boundary problem modelling the growth of nonnecrotic tumors

Discrete and Continuous Dynamical Systems - Series B  Volume 15, Issue 3, Pages : 573 - 596, 2011

Joachim Escher - (email), Anca-Voichita Matioc - (email)

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122

Well-posedness for two types of generalized Keller-Segel system of chemotaxis in critical Besov spaces

Communications on Pure and Applied Analysis  Volume 10, Issue 1, Pages : 287 - 308, 2010

Zhichun Zhai - (email)

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123

Well-posedness and existence of standing waves for the fourth order nonlinear Schrödinger type equation

Discrete and Continuous Dynamical Systems  Volume 27, Issue 3, Pages : 1093 - 1105, 2010

Jun-ichi Segata - (email)

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124

The Cauchy problem for Schrödinger flows into Kähler manifolds

Discrete and Continuous Dynamical Systems  Volume 27, Issue 2, Pages : 389 - 439, 2010

Carlos Kenig - (email), Tobias Lamm - (email), Daniel Pollack - (email), Gigliola Staffilani - (email), Tatiana Toro - (email)

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125

Degenerate diffusion with a drift potential: A viscosity solutions approach

Discrete and Continuous Dynamical Systems  Volume 27, Issue 2, Pages : 767 - 786, 2010

Inwon C. Kim - (email), Helen K. Lei - (email)

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126

Gevrey regularizing effect of the Cauchy problem for non-cutoff homogeneous Kac's equation

Kinetic and Related Models  Volume 2, Issue 4, Pages : 647 - 666, 2009

Nadia Lekrine - (email), Chao-Jiang Xu - (email)

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127

Boundary dynamics of a two-dimensional diffusive free boundary problem

Discrete and Continuous Dynamical Systems  Volume 26, Issue 2, Pages : 713 - 736, 2009

Micah Webster - (email), Patrick Guidotti - (email)

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128

Global solutions to the Cauchy problem for the weakly coupled system of damped wave equations

DCDS Supplements  Volume 2009, Issue Special, Pages : 592 - 601, 2009

Takashi Narazaki - (email)

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129

Well-Posedness for vector quasi-equilibrium problems with applications

Journal of Industrial and Management Optimization  Volume 5, Issue 2, Pages : 341 - 349, 2009

Nan-Jing Huang - (email), Xian-Jun Long - (email), Chang-Wen Zhao - (email)

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130

Asymptotic behavior of solutions for some semilinear heat equations in $R^N$

Communications on Pure and Applied Analysis  Volume 8, Issue 4, Pages : 1351 - 1371, 2009

Kazuhiro Ishige - (email), Tatsuki Kawakami - (email)

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131

Global existence for a forced dispersive dissipative equation via the I-method

Communications on Pure and Applied Analysis  Volume 8, Issue 4, Pages : 1401 - 1419, 2009

Bassam Kojok - (email)

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132

On the Cahn-Hilliard equation with irregular potentials and dynamic boundary conditions

Communications on Pure and Applied Analysis  Volume 8, Issue 3, Pages : 881 - 912, 2009

Gianni Gilardi - (email), A. Miranville - (email), Giulio Schimperna - (email)

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133

The multi-water-bag equations for collisionless kinetic modeling

Kinetic and Related Models  Volume 2, Issue 1, Pages : 39 - 80, 2009

Nicolas Besse - (email), Florent Berthelin - (email), Yann Brenier - (email), Pierre Bertrand - (email)

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134

Mechanism of the formation of singularities for diagonal systems with linearly degenerate characteristic fields

Communications on Pure and Applied Analysis  Volume 8, Issue 2, Pages : 757 - 768, 2008

Yong-Fu Yang - (email)

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135

Missing boundary data reconstruction via an approximate optimal control

Inverse Problems and Imaging  Volume 2, Issue 4, Pages : 411 - 426, 2008

Rajae Aboulaϊch - (email), Amel Ben Abda - (email), Moez Kallel - (email)

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136

The inhomogeneous PME in several space dimensions. Existence and uniqueness of finite energy solutions

Communications on Pure and Applied Analysis  Volume 7, Issue 6, Pages : 1275 - 1294, 2008

Guillermo Reyes - (email), Juan-Luis Vázquez - (email)

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137

On a Hamiltonian PDE arising in magma dynamics

Discrete and Continuous Dynamical Systems - Series B  Volume 10, Issue 4, Pages : 903 - 924, 2008

Gideon Simpson - (email), Michael I. Weinstein - (email), Philip Rosenau - (email)

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138

An alternating boundary integral based method for a Cauchy problem for the Laplace equation in semi-infinite regions

Inverse Problems and Imaging  Volume 2, Issue 3, Pages : 317 - 333, 2008

Roman Chapko - (email), B. Tomas Johansson - (email)

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139

Local well-posedness for the Cauchy problem of the quadratic Schrödinger equation with nonlinearity $\bar u^2$

Communications on Pure and Applied Analysis  Volume 7, Issue 5, Pages : 1123 - 1143, 2008

Nobu Kishimoto - (email)

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140

The Cauchy problem for 1D compressible flows with density-dependent viscosity coefficients

Kinetic and Related Models  Volume 1, Issue 2, Pages : 313 - 330, 2008

Quansen Jiu - (email), Zhouping Xin - (email)

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141

Well-posedness for parametric vector equilibrium problems with applications

Journal of Industrial and Management Optimization  Volume 4, Issue 2, Pages : 313 - 327, 2008

Kenji Kimura - (email), Yeong-Cheng Liou - (email), Soon-Yi Wu - (email), Jen-Chih Yao - (email)

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142

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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143

Well-posedness and stability of a multidimensional moving boundary problem modeling the growth of tumor cord

Discrete and Continuous Dynamical Systems  Volume 21, Issue 3, Pages : 929 - 943, 2008

Fujun Zhou - (email), Shangbin Cui - (email)

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144

On the periodic Schrödinger-Debye equation

Communications on Pure and Applied Analysis  Volume 7, Issue 3, Pages : 699 - 713, 2008

Alexander Arbieto - (email), Carlos Matheus - (email)

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145

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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146

Weighted low-regularity solutions of the KP-I initial-value problem

Discrete and Continuous Dynamical Systems  Volume 20, Issue 2, Pages : 219 - 258, 2007

J. Colliander - (email), A. D. Ionescu - (email), C. E. Kenig - (email), Gigliola Staffilani - (email)

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147

Well-posedness for one-dimensional derivative nonlinear Schrödinger equations

Communications on Pure and Applied Analysis  Volume 6, Issue 4, Pages : 997 - 1021, 2007

Chengchun Hao - (email)

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148

Analysis of a phase field Navier-Stokes vesicle-fluid interaction model

Discrete and Continuous Dynamical Systems - Series B  Volume 8, Issue 3, Pages : 539 - 556, 2007

Qiang Du - (email), Manlin Li - (email), Chun Liu - (email)

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149

Well-posedness of the modified Crank-Nicholson difference schemes in Bochner spaces

Discrete and Continuous Dynamical Systems - Series B  Volume 7, Issue 1, Pages : 29 - 51, 2006

Allaberen Ashyralyev - (email)

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150

Global well-posedness of the Cauchy problem for nonlinear Schrödinger-type equations

Discrete and Continuous Dynamical Systems  Volume 17, Issue 1, Pages : 181 - 200, 2006

Changxing Miao - (email), Bo Zhang - (email)

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151

Global well-posedness in Sobolev space implies global existence for weighted $L^2$ initial data for $L^2$-critical NLS

Communications on Pure and Applied Analysis  Volume 5, Issue 4, Pages : 691 - 708, 2006

P. Blue - (email), J. Colliander - (email)

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152

On the stochastic Burgers equation with a polynomial nonlinearity in the real line

Discrete and Continuous Dynamical Systems - Series B  Volume 6, Issue 4, Pages : 835 - 866, 2006

Jong Uhn Kim - (email)

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153

Cauchy problem for the nonlinear Schrödinger-IMBq equations

Discrete and Continuous Dynamical Systems - Series B  Volume 6, Issue 1, Pages : 203 - 214, 2005

Shubin Wang - (email), Guowang Chen - (email)

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154

Boundary conditions for the 2D linearized PEs of the ocean in the absence of viscosity

Discrete and Continuous Dynamical Systems  Volume 13, Issue 5, Pages : 1257 - 1276, 2005

A. Rousseau - (email), Roger Temam - (email), J. Tribbia - (email)

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155

On some fractional differential equations in the Hilbert space

DCDS Supplements  Volume 2005, Issue Special, Pages : 233 - 240, 2005

Mahmoud M. El-Borai - (email)

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156

The long-time behaviour for nonlinear Schrödinger equation and its rational pseudospectral approximation

Discrete and Continuous Dynamical Systems - Series B  Volume 5, Issue 2, Pages : 469 - 488, 2005

Xinmin Xiang - (email)

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157

On generalized Benjamin type equations

Discrete and Continuous Dynamical Systems  Volume 12, Issue 1, Pages : 161 - 174, 2004

Felipe Linares - (email), M. Scialom - (email)

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158

On the cauchy problem for the coupled Klein Gordon Schrödinger system with rough data

Discrete and Continuous Dynamical Systems  Volume 12, Issue 2, Pages : 233 - 242, 2004

Yang Han - (email)

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159

On the Cauchy problem for a coupled system of KdV equations

Communications on Pure and Applied Analysis  Volume 3, Issue 3, Pages : 417 - 431, 2004

Felipe Linares - (email), M. Panthee - (email)

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160

Existence of the global attractor for weakly damped, forced KdV equation on Sobolev spaces of negative index

Communications on Pure and Applied Analysis  Volume 3, Issue 2, Pages : 301 - 318, 2004

Kotaro Tsugawa - (email)

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161

Cauchy problem for the Ostrovsky equation

Discrete and Continuous Dynamical Systems  Volume 10, Issue 3, Pages : 731 - 753, 2004

V. Varlamov - (email), Yue Liu - (email)

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162

Right accessibility of semicontinuous initial data for Hamilton-Jacobi equations

Communications on Pure and Applied Analysis  Volume 2, Issue 4, Pages : 447 - 459, 2003

Martino Bardi - (email), Yoshikazu Giga - (email)

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163

The asymptotic solution of the Cauchy problem for a generalized Boussinesq equation

Discrete and Continuous Dynamical Systems - Series B  Volume 3, Issue 3, Pages : 401 - 408, 2003

Shaoyong Lai - (email), Yong Hong Wu - (email)

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164

Breakdown of $C^1$ solution to the Cauchy problem for quasilinear hyperbolic systems with characteristics with constant multiplicity

Communications on Pure and Applied Analysis  Volume 2, Issue 1, Pages : 77 - 89, 2002

Libin Wang - (email)

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165

Global well-posedness for the Kadomtsev-Petviashvili II equation

Discrete and Continuous Dynamical Systems  Volume 6, Issue 2, Pages : 483 - 499, 2000

Hideo Takaoka - (email)

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166

A singular perturbed problem for semilinear wave equations with small parameter

Discrete and Continuous Dynamical Systems  Volume 5, Issue 3, Pages : 473 - 488, 1999

Han Yang - (email)

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167

On the existence of solutions of the Cauchy problem for porous medium equations with radon measure as initial data

Discrete and Continuous Dynamical Systems  Volume 1, Issue 4, Pages : 521 - 546, 1995

Kazuhiro Ishige - (email)

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168

Schrödinger equations with nonlinearity of integral type

Discrete and Continuous Dynamical Systems  Volume 1, Issue 4, Pages : 475 - 484, 1995

Nakao Hayashi - (email), Tohru Ozawa - (email)

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