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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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2

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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3

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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4

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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5

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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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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7

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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8

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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9

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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10

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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11

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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12

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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13

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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14

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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15

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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16

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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17

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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18

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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19

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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20

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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21

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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22

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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23

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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24

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 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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26

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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27

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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28

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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29

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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30

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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31

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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32

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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33

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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34

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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35

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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36

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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37

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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38

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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39

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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40

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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41

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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42

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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43

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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44

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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45

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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46

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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47

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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48

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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49

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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50

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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51

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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52

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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53

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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55

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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56

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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57

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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58

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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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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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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61

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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