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Asymptotic behaviour of the solutions to a virus dynamics model with diffusion

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 5, Pages : 13 - 13, 2017

Toru Sasaki - (email), Takashi Suzuki - (email)

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2

Concentration phenomenon in some non-local equation

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 3, Pages : 763 - 781, 2017

Olivier Bonnefon - (email), Jérôme Coville - (email), Guillaume Legendre - (email)

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3

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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4

Asymptotics for Venttsel' problems for operators in non divergence form in irregular domains

Discrete and Continuous Dynamical Systems - Series S  Volume 9, Issue 5, Pages : 1493 - 1520, 2016

Maria Rosaria Lancia - (email), Valerio Regis Durante - (email), Paola Vernole - (email)

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5

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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6

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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7

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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8

On one dimensional quantum Zakharov system

Discrete and Continuous Dynamical Systems  Volume 36, Issue 10, Pages : 5445 - 5475, 2016

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

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9

On the $L^p-$ theory of Anisotropic singular perturbations of elliptic problems

Communications on Pure and Applied Analysis  Volume 15, Issue 4, Pages : 1157 - 1178, 2016

Ogabi Chokri - (email)

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10

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

Discrete and Continuous Dynamical Systems - Series S  Volume 9, Issue 3, Pages : 833 - 846, 2016

Marina V. Plekhanova - (email)

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11

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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12

Boundary value problem for a phase transition model

Networks and Heterogeneous Media  Volume 11, Issue 1, Pages : 89 - 105, 2016

Mauro Garavello - (email)

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13

Large time behavior of solutions for a nonlinear damped wave equation

Communications on Pure and Applied Analysis  Volume 15, Issue 1, Pages : 41 - 55, 2015

Hiroshi Takeda - (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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15

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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16

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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17

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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18

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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19

Existence, uniqueness and asymptotic behaviour for fractional porous medium equations on bounded domains

Discrete and Continuous Dynamical Systems  Volume 35, Issue 12, Pages : 5725 - 5767, 2015

Matteo Bonforte - (email), Yannick Sire - (email), Juan Luis Vázquez - (email)

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20

Asymptotic problems in optimal control with a vanishing Lagrangian and unbounded data

Discrete and Continuous Dynamical Systems  Volume 35, Issue 9, Pages : 4527 - 4552, 2015

Monica Motta - (email), Caterina Sartori - (email)

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21

Profiles for bounded solutions of dispersive equations, with applications to energy-critical wave and Schrödinger equations

Communications on Pure and Applied Analysis  Volume 14, Issue 4, Pages : 1275 - 1326, 2015

Thomas Duyckaerts - (email), Carlos E. Kenig - (email), Frank Merle - (email)

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22

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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23

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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Nonlocal refuge model with a partial control

Discrete and Continuous Dynamical Systems  Volume 35, Issue 4, Pages : 1421 - 1446, 2014

Jérôme Coville - (email)

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25

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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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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27

Structure and regularity of the global attractor of a reaction-diffusion equation with non-smooth nonlinear term

Discrete and Continuous Dynamical Systems  Volume 34, Issue 10, Pages : 4155 - 4182, 2014

Oleksiy V. Kapustyan - (email), Pavlo O. Kasyanov - (email), José Valero - (email)

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28

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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29

Well-posedness and scattering for a system of quadratic derivative nonlinear Schrödinger equations with low regularity initial data

Communications on Pure and Applied Analysis  Volume 13, Issue 4, Pages : 1563 - 1591, 2014

Hiroyuki Hirayama - (email)

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30

Asymptotic behaviour of sign changing radial solutions of Lane Emden Problems in the annulus

Discrete and Continuous Dynamical Systems - Series S  Volume 7, Issue 4, Pages : 793 - 805, 2014

Filomena Pacella - (email), Dora Salazar - (email)

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31

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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32

Finite-dimensional behavior in a thermosyphon with a viscoelastic fluid

DCDS Supplements  Volume 2013, Issue special, Pages : 375 - 384, 2013

A. Jiménez-Casas - (email), Mario Castro - (email), Justine Yassapan - (email)

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33

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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34

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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35

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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36

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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37

Asymptotics for a second order differential equation with a linear, slowly time-decaying damping term

Evolution Equations and Control Theory  Volume 2, Issue 3, Pages : 461 - 470, 2013

Alain Haraux - (email), Mohamed Ali Jendoubi - (email)

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38

Singularity formation and blowup of complex-valued solutions of the modified KdV equation

Discrete and Continuous Dynamical Systems  Volume 33, Issue 11/12, Pages : 4811 - 4840, 2013

Jerry L. Bona - (email), Stéphane Vento - (email), Fred B. Weissler - (email)

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39

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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40

Porous media equations with two weights: Smoothing and decay properties of energy solutions via Poincaré inequalities

Discrete and Continuous Dynamical Systems  Volume 33, Issue 8, Pages : 3599 - 3640, 2013

Gabriele Grillo - (email), Matteo Muratori - (email), Maria Michaela Porzio - (email)

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41

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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42

Grow up and slow decay in the critical Sobolev case

Networks and Heterogeneous Media  Volume 7, Issue 4, Pages : 661 - 671, 2012

Marek Fila - (email), John R. King - (email)

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43

Nonautonomous Kolmogorov equations in the whole space: A survey on recent results

Discrete and Continuous Dynamical Systems - Series S  Volume 6, Issue 3, Pages : 731 - 760, 2012

Luca Lorenzi - (email)

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44

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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45

Keller-Osserman estimates for some quasilinear elliptic systems

Communications on Pure and Applied Analysis  Volume 12, Issue 4, Pages : 1547 - 1568, 2012

Marie-Françoise Bidaut-Véron - (email), Marta García-Huidobro - (email), Cecilia Yarur - (email)

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46

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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47

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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48

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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49

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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50

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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51

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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52

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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53

Some singular perturbations results for semilinear hyperbolic problems

Discrete and Continuous Dynamical Systems - Series S  Volume 5, Issue 3, Pages : 567 - 580, 2011

Senoussi Guesmia - (email), Abdelmouhcene Sengouga - (email)

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54

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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55

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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56

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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57

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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58

Homogenization of convection-diffusion equation in infinite cylinder

Networks and Heterogeneous Media  Volume 6, Issue 1, Pages : 111 - 126, 2011

Iryna Pankratova - (email), Andrey Piatnitski - (email)

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59

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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Asymptotic behaviour of reversible chemical reaction-diffusion equations

Kinetic and Related Models  Volume 3, Issue 3, Pages : 427 - 444, 2010

Ivan Gentil - (email), Bogusław Zegarlinski - (email)

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61

On a class of integro-differential problems

Communications on Pure and Applied Analysis  Volume 9, Issue 5, Pages : 1249 - 1262, 2010

Michel Chipot - (email), Senoussi Guesmia - (email)

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62

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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63

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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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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65

Energy estimates for electro-reaction-diffusion systems with partly fast kinetics

Discrete and Continuous Dynamical Systems  Volume 25, Issue 1, Pages : 159 - 174, 2009

Annegret Glitzky - (email)

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66

On the behaviour at infinity of solutions to stationary convection-diffusion equation in a cylinder

Discrete and Continuous Dynamical Systems - Series B  Volume 11, Issue 4, Pages : 935 - 970, 2009

Iryna Pankratova - (email), Andrey Piatnitski - (email)

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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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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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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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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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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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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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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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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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75

Asymptotic behaviour of the solutions of fractional integro-differential equations and some time discretizations

DCDS Supplements  Volume 2007, Issue Special, Pages : 277 - 285, 2007

Eduardo Cuesta - (email)

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76

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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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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Some remarks on stability for a phase field model with memory

Discrete and Continuous Dynamical Systems  Volume 15, Issue 4, Pages : 1089 - 1117, 2006

Michael Grinfeld - (email), Amy Novick-Cohen - (email)

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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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A descent method for the free energy of multicomponent systems

Discrete and Continuous Dynamical Systems  Volume 15, Issue 2, Pages : 505 - 528, 2006

Herbert Gajewski - (email), Jens A. Griepentrog - (email)

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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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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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83

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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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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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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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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Asymptotic behaviour for wave equations with memory in a noncylindrical domains

Communications on Pure and Applied Analysis  Volume 2, Issue 4, Pages : 511 - 520, 2003

Jorge Ferreira - (email), Mauro De Lima Santos - (email)

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Decay of the polarization field in a Maxwell Bloch system

Discrete and Continuous Dynamical Systems  Volume 9, Issue 3, Pages : 663 - 676, 2003

Frank Jochmann - (email)

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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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On the asymptotic behaviour of the solution of parabolic problems in cylindrical domains of large size in some directions

Discrete and Continuous Dynamical Systems - Series B  Volume 1, Issue 3, Pages : 319 - 338, 2001

M. Chipot - (email), A. Rougirel - (email)

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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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The asymptotic behavior of solutions of a semilinear parabolic equation

Discrete and Continuous Dynamical Systems  Volume 2, Issue 4, Pages : 483 - 496, 1996

Minkyu Kwak - (email), Kyong Yu - (email)

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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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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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