Thierry Cazenave

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All published works
Action Title Year Authors
+ PDF Chat Asymptotic behavior for a dissipative nonlinear Schrödinger equation 2021 Thierry Cazenave
Zheng Han
Ivan Naumkin
+ PDF Local smooth solutions of the nonlinear Klein-gordon equation 2020 Thierry Cazenave
Ivan Naumkin
+ PDF Chat Blowup on an Arbitrary Compact Set for a Schrödinger Equation with Nonlinear Source Term 2020 Thierry Cazenave
Zheng Han
Yvan Martel
+ PDF Asymptotic behavior for a Schrödinger equation with nonlinear subcritical dissipation 2020 Thierry Cazenave
Zheng Han
+ PDF Sign-changing solutions of the nonlinear heat equation with persistent singularities 2020 Thierry Cazenave
Flávio Dickstein
Ivan Naumkin
Fred B. Weissler
+ PDF Chat Sign-changing self-similar solutions of the nonlinear heat equation with positive initial value 2020 Thierry Cazenave
Flávio Dickstein
Ivan Naumkin
Fred B. Weissler
+ PDF Chat Solutions with Prescribed Local Blow-up Surface for the Nonlinear Wave Equation 2019 Thierry Cazenave
Yvan Martel
Lifeng Zhao
+ PDF Solutions blowing up on any given compact set for the energy subcritical wave equation 2019 Thierry Cazenave
Yvan Martel
Lifeng Zhao
+ Asymptotic behavior for a Schr\"odinger equation with nonlinear subcritical dissipation 2019 Thierry Cazenave
Zheng Han
+ Blowup on an arbitrary compact set for a Sch\"odinger equation with nonlinear source term 2019 Thierry Cazenave
Zheng Han
Yvan Martel
+ PDF Chat Finite-time Blowup for some Nonlinear Complex Ginzburg–Landau Equations 2019 Thierry Cazenave
Seifeddine Snoussi
+ PDF Chat Perturbations of self-similar solutions 2019 Thierry Cazenave
Flávio Dickstein
Ivan Naumkin
Fred B. Weissler
+ Finite-time blowup for a Schrödinger equation with nonlinear source term 2018 Thierry Cazenave
Yvan Martel
Lifeng Zhao
+ PDF Spatial behavior for NLS and applications to scattering 2018 Thierry Cazenave
Ivan Naumkin
+ An introduction to semilinear elliptic equations 2018 Thierry Cazenave
+ Modified scattering for the critical nonlinear Schrödinger equation 2017 Thierry Cazenave
Ivan Naumkin
+ PDF NON-REGULARITY IN HÖLDER AND SOBOLEV SPACES OF SOLUTIONS TO THE SEMILINEAR HEAT AND SCHRÖDINGER EQUATIONS 2016 Thierry Cazenave
Flávio Dickstein
Fred B. Weissler
+ PDF Chat Local existence, global existence, and scattering for the nonlinear Schrödinger equation 2016 Thierry Cazenave
Ivan Naumkin
+ PDF A Fujita-type blowup result and low energy scattering for a nonlinear Schrödinger equation 2015 Thierry Cazenave
Simão Correia
Flávio Dickstein
Fred B. Weissler
+ PDF Chat Local well-posedness for the $H^2$-critical nonlinear Schrödinger equation 2015 Thierry Cazenave
Daoyuan Fang
Zheng Han
+ Contributions to nonlinear elliptic equations and systems : a tribute to Djairo Guedes de Figueiredo on the occasion of this 80th birthday 2015 Alexandre N. Carvalho
Bernhard Ruf
Ederson Moreira dos Santos
Jean–Pierre Gossez
Sérgio H. Monari Soares
Thierry Cazenave
Djairo G. de Figueiredo
+ Contributions to Nonlinear Elliptic Equations and Systems 2015 Alexandre N. Carvalho
Bernhard Ruf
Ederson Moreira dos Santos
Jean­-Pierre Gossez
Sérgio H. Monari Soares
Thierry Cazenave
+ PDF Chat Standing waves of the complex Ginzburg–Landau equation 2014 Thierry Cazenave
Flávio Dickstein
Fred B. Weissler
+ PDF Chat Finite-time blowup for a complex Ginzburg–Landau equation with linear driving 2014 Thierry Cazenave
João‐Paulo Dias
Mário Figueira
+ Local well-posedness for the $H^2$-critical nonlinear Schr\"odinger equation 2013 Thierry Cazenave
Daoyuan Fang
Zheng Han
+ PDF Blowup for a time-oscillating nonlinear heat equation 2013 Thierry Cazenave
Miguel Escobedo
Enrique Zuazua
+ PDF Finite-Time Blowup for a Complex Ginzburg--Landau Equation 2013 Thierry Cazenave
Flávio Dickstein
Fred B. Weissler
+ Local well-posedness for the $H^2$-critical nonlinear Schrödinger equation 2013 Thierry Cazenave
Daoyuan Fang
Han Zheng
+ PDF Multi-scale multi-profile global solutions of parabolic equations in $\mathbb{R}^N $ 2011 Thierry Cazenave
Flávio Dickstein
Fred B. Weissler
+ Scattering for the focusing energy-subcritical nonlinear Schrödinger equation 2011 Daoyuan Fang
Jian Xie
Thierry Cazenave
+ PDF Multiscale Asymptotic Behavior of the Schrödinger Equation 2011 Daoyuan Fang
Jian Xie
Thierry Cazenave
+ PDF Spectral properties of stationary solutions of the nonlinear heat equation 2011 Thierry Cazenave
Flávio Dickstein
Fred B. Weissler
+ Scattering for the focusing energy-subcritical NLS 2011 Daoyuan Fang
Jian Xie
Thierry Cazenave
+ PDF Continuous dependence for NLS in fractional order spaces 2010 Zheng Han
Thierry Cazenave
Daoyuan Fang
+ PDF A note on decay rates for Schrödinger’s equation 2010 Jian Xie
Linzi Zhang
Thierry Cazenave
+ A Schrödinger equation with time-oscillating nonlinearity 2009 Thierry Cazenave
M. Scialom
+ On the structure of global solutions of the nonlinear heat equation in a ball 2009 Thierry Cazenave
Flávio Dickstein
Fred B. Weissler
+ Global existence and blowup for sign-changing solutions of the nonlinear heat equation 2009 Thierry Cazenave
Flávio Dickstein
Fred B. Weissler
+ Sign-changing stationary solutions and blowup for the nonlinear heat equation in a ball 2008 Thierry Cazenave
Flávio Dickstein
Fred B. Weissler
+ Nonparabolic Asymptotic Limits of Solutions of the Heat Equation on $${\mathbb{R}}^N$$ 2007 Thierry Cazenave
Flávio Dickstein
Fred B. Weissler
+ An equation whose Fujita critical exponent is not given by scaling 2006 Thierry Cazenave
Flávio Dickstein
Fred B. Weissler
+ Spatial decay and time-asymptotic profiles for solutions of Schroedinger equations 2006 Thierry Cazenave
Fred B. Weissler
+ A solution of the constant coefficient heat equation on $\Bbb R$ with exceptional asymptotic behavior : an explicit construction. 2006 Thierry Cazenave
Flávio Dickstein
Fred B. Weissler
+ Spatial decay and time-asymptotic profiles for solutions of Schrodinger equations 2006 Thierry Cazenave
Fred B. Weissler
+ Contributions to nonlinear analysis : a tribute to D.G. de Figueiredo on the occation of his 70th birthday 2006 Thierry Cazenave
+ A Solution of the Heat Equation with a Continuum of Decay Rates 2005 Thierry Cazenave
Flávio Dickstein
Fred B. Weissler
+ Some remarks on the nonlinear Schrödinger equation in the subcritical case 2005 Thierry Cazenave
Fred B. Weissler
+ A solution of the constant coefficient heat equation on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi mathvariant="double-struck">R</mml:mi></mml:math> with exceptional asymptotic behavior: An explicit construction 2005 Thierry Cazenave
Flávio Dickstein
Fred B. Weissler
+ PDF Chaotic behavior of solutions of the Navier-Stokes system in $\Bbb R^N$ 2005 Thierry Cazenave
Flávio Dickstein
Fred B. Weissler
+ Chaotic behavior of solutions of the Navier-Stokes system in $\R^N $ 2005 Thierry Cazenave
Flávio Dickstein
Fred B. Weissler
+ Multiscale asymptotic behavior of a solution of the heat equation in $\R^N $, in Nonlinear Differential Equations: A Tribute to D. G. de Figueiredo 2005 Thierry Cazenave
T. Dickstein
F.B. Weissler
+ A solution of the heat equation with a continuum of decay rates, in Elliptic and parabolic problems: A special tribute to the work of Haïm Brezis 2005 Thierry Cazenave
T. Dickstein
F.B. Weissler
+ Multiscale Asymptotic Behavior of a Solution of the Heat Equation on $$ \mathbb{R}^N $$ 2005 Thierry Cazenave
Flávio Dickstein
Fred B. Weissler
+ PDF The Cauchy problem in a general domain 2003 Thierry Cazenave
+ The local Cauchy problem 2003 Thierry Cazenave
+ Stability of bound states in the attractive case 2003 Thierry Cazenave
+ Semilinear Schrödinger Equations 2003 Thierry Cazenave
+ Universal solutions of the heat equation on $\mathbb R^N$ 2003 Thierry Cazenave
Flávio Dickstein
Fred B. Weissler
+ Universal solutions of a nonlinear heat equation on $\mathbb {R}^N$ 2003 Thierry Cazenave
Flávio Dickstein
Fred B. Weissler
+ A NOTE ON THE NONLINEAR SCHRÖDINGER EQUATION IN WEAK L<sup>p</sup>SPACES 2001 Thierry Cazenave
Luis Vega
Mari Cruz Vilela
+ Self-Similar Solutions of a Nonlinear Heat Equation 2001 Thierry Cazenave
Flávio Dickstein
Miguel Escobedo
Fred B. Weissler
+ Scattering Theory and Self-Similar Solutions for the Nonlinear Schrödinger Equation 2000 Thierry Cazenave
Fred B. Weissler
+ An Introduction to Semilinear Evolution Equations 1998 Thierry Cazenave
Alain Haraux
Yvan Martel
+ Notation 1998 Thierry Cazenave
Alain Haraux
Yvan Martel
+ Bounds on global solutions 1998 Thierry Cazenave
Alain Haraux
Yvan Martel
+ m-dissipative operators 1998 Thierry Cazenave
Alain Haraux
Yvan Martel
+ The Schrödinger equation 1998 Thierry Cazenave
Alain Haraux
Yvan Martel
+ The Klein-Gordon equation 1998 Thierry Cazenave
Alain Haraux
Yvan Martel
+ The heat equation 1998 Thierry Cazenave
Alain Haraux
Yvan Martel
+ Inhomogeneous Equations and abstract semilinear problems 1998 Thierry Cazenave
Alain Haraux
Yvan Martel
+ Preliminary results 1998 Thierry Cazenave
Alain Haraux
Yvan Martel
+ More self-similar solutions of the nonlinear Schrödinger equation 1998 Thierry Cazenave
Fred B. Weissler
+ Asymptotically self-similar global solutions of the nonlinear Schrödinger and heat equations 1998 Thierry Cazenave
Fred B. Weissler
+ Harmonic maps of the hyperbolic space and development of singularities in wave maps and Yang-Mills fields 1998 Thierry Cazenave
Jalal Shatah
A. Shadi Tahvildar‐Zadeh
+ PDF Solutions self-similaires de l'équation de Schrödinger non-linéaire 1997 Thierry Cazenave
+ A nonlinear heat equation with singular initial data 1996 Haı̈m Brezis
Thierry Cazenave
+ PDF Blow up for $u_t-\Delta u=g(u)$ revisited 1996 Haı̈m Brezis
Thierry Cazenave
Yvan Martel
Arthur Ramiandrisoa
+ On the initial value problem for a linear model of well- reservoir coupling 1996 Walter de Gruyter
Thierry Cazenave
Analyse Num
U Cnrs
+ Global behavior for some conservative nonlinear equations 1995 Thierry Cazenave
Alain Haraux
Fred B. Weissler
+ A Two-Parameter Shooting Problem for a Second-Order Differential Equation 1994 Thierry Cazenave
Miguel Escobedo
+ Detailed asymptotics for a convex Hamiltonian system with two degrees of freedom 1993 Thierry Cazenave
Alain Haraux
Fred B. Weissler
+ A class of nonlinear, completely integrable abstract wave equations 1993 Thierry Cazenave
Alain Haraux
Fred B. Weissler
+ PDF Rapidly decaying solutions of the nonlinear Schrödinger equation 1992 Thierry Cazenave
Fred B. Weissler
+ PDF The structure of solutions to the pseudo-conformally invariant nonlinear Schrödinger equation 1991 Thierry Cazenave
Fred B. Weissler
+ PDF Existence of standing waves for dirac fields with singular nonlinearities 1990 Mikhaël Balabane
Thierry Cazenave
Luis Vázquez
+ On the propagation of confined waves along the geodesics 1990 Thierry Cazenave
+ The cauchy problem for the critical nonlinear Schrödinger equation in Hs 1990 Thierry Cazenave
Fred B. Weissler
+ Introduction aux problèmes d'évolution semi-linéaires 1990 Thierry Cazenave
Alain Haraux
Société de mathématiques appliquées et industrielles
+ PDF Nonlinear effects in the wave equation with a cubic restoring force 1989 Thierry Cazenave
Alain Haraux
Luis Vázquez
Fred B. Weissler
+ Some remarks on the nonlinear Schrödinger equation in the critical case 1989 Thierry Cazenave
Fred B. Weissler
+ The Cauchy problem for the nonlinear Schrödinger equation in H1 1988 Thierry Cazenave
Fred B. Weissler
+ PDF Existence of excited states for a nonlinear Dirac field 1988 Mikhaël Balabane
Thierry Cazenave
Adrien Douady
Frank Merle
+ Some oscillatory properties of the wave equation in several space dimensions 1988 Thierry Cazenave
Alain Haraux
+ PDF Oscillatory Phenomena Associated to Semilinear Wave Equations in One Spatial Dimension 1987 Thierry Cazenave
A. Haraux
+ PDF Oscillatory phenomena associated to semilinear wave equations in one spatial dimension 1987 Thierry Cazenave
Alain Haraux
+ PDF Existence of localized solutions for a classical nonlinear Dirac field 1986 Thierry Cazenave
Luis Vázquez
+ Uniform estimates for solutions of nonlinear Klein-Gordon equations 1985 Thierry Cazenave
+ Solutions globales d'equations de la chaleur semi lineaires. 1984 Thierry Cazenave
Pierre‐Louis Lions
+ Stable solutions of the logarithmic Schrödinger equation 1983 Thierry Cazenave
+ Orbital stability of standing waves for some nonlinear Schr�dinger equations 1982 Thierry Cazenave
Pierre‐Louis Lions
+ Instability of stationary states in nonlinear Schroedinger or Klein-Gordon equations 1981 H. Berestycki
Thierry Cazenave
+ INSTABILITE DES ETATS STATIONNAIRES DANS LES EQUATIONS DE SCHROEDINGER ET DE KLEIN-GORDON NON LINEAIRES 1981 H. Berestycki
Thierry Cazenave
+ PDF Équations d'évolution avec non linéarité logarithmique 1980 Thierry Cazenave
Alain Haraux
+ Equations de Schrödinger non linéaires en dimension deux 1979 Thierry Cazenave
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ PDF Rapidly decaying solutions of the nonlinear Schrödinger equation 1992 Thierry Cazenave
Fred B. Weissler
15
+ The cauchy problem for the critical nonlinear Schrödinger equation in Hs 1990 Thierry Cazenave
Fred B. Weissler
13
+ On nonlinear Schrödinger equations 1987 Tosio Kato
13
+ On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case 1979 J. Ginibre
G. Velo
13
+ Asymptotically self-similar global solutions of the nonlinear Schrödinger and heat equations 1998 Thierry Cazenave
Fred B. Weissler
11
+ Semilinear Schrödinger Equations 2003 Thierry Cazenave
9
+ On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations 1977 Robert T. Glassey
9
+ Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations 1977 Robert S. Strichartz
9
+ On a class of nonlinear Schrödinger equations. II. Scattering theory, general case 1979 J. Ginibre
G. Velo
8
+ Nonlinear Schrödinger equations 2008 Tosio Kato
8
+ Some nonexistence and instability theorems for solutions of formally parabolic equations of the form Put=−Au+ℱ(u) 1973 Howard A. Levine
8
+ Existence of solutions for Schr�dinger evolution equations 1987 Kenji Yajima
8
+ Nonlinear scalar field equations, I existence of a ground state 1983 Henri Berestycki
P. L. Lions
8
+ Nonlinear scattering theory at low energy 1981 Walter A. Strauss
8
+ Nonlinear Scattering Theory 1974 Walter A. Strauss
7
+ PDF Existence of solitary waves in higher dimensions 1977 Walter A. Strauss
7
+ PDF The global Cauchy problem for the non linear Schrödinger equation revisited 1985 J. Ginibre
G. Velo
7
+ PDF A Fujita-type blowup result and low energy scattering for a nonlinear Schrödinger equation 2015 Thierry Cazenave
Simão Correia
Flávio Dickstein
Fred B. Weissler
7
+ Superlinear Parabolic Problems: Blow-up, Global Existence and Steady States 2007 Pavol Quíttner
Philippe Souplet
6
+ Existence and non-existence of global solutions for a semilinear heat equation 1981 Fred B. Weissler
6
+ The Cauchy problem for the nonlinear Schrödinger equation in H1 1988 Thierry Cazenave
Fred B. Weissler
6
+ Universal solutions of the heat equation on $\mathbb R^N$ 2003 Thierry Cazenave
Flávio Dickstein
Fred B. Weissler
6
+ L$^2$-Solutions for Nonlinear Schrodinger Equations and Nonlinear Groups 1985 誉志雄 堤
6
+ Remarks on scattering for nonlinear Schrödinger equations 2002 Kenji Nakanishi
Tohru Ozawa
6
+ Self-Similar Solutions of a Nonlinear Heat Equation 2001 Thierry Cazenave
Flávio Dickstein
Miguel Escobedo
Fred B. Weissler
5
+ On nonlinear Schrödinger equations, II.H S -solutions and unconditional well-posedness 1995 Tosio Kato
5
+ On the well-posedness for NLS in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mi>s</mml:mi></mml:mrow></mml:msup></mml:math> 2013 Daoyuan Fang
Zheng Han
5
+ A Solution of the Heat Equation with a Continuum of Decay Rates 2005 Thierry Cazenave
Flávio Dickstein
Fred B. Weissler
5
+ Nonlinear invariant wave equations 2005 Walter A. Strauss
5
+ PDF COMPLEXITY OF LARGE TIME BEHAVIOUR OF EVOLUTION EQUATIONS WITH BOUNDED DATA 2002 Juan Luís Vázquez
Enrique Zuazua
5
+ PDF Chat Local existence, global existence, and scattering for the nonlinear Schrödinger equation 2016 Thierry Cazenave
Ivan Naumkin
5
+ Finite-time blowup for a Schrödinger equation with nonlinear source term 2018 Thierry Cazenave
Yvan Martel
Lifeng Zhao
5
+ PDF Chat Global well-posedness, scattering and blow-up for the energy-critical, focusing, non-linear Schrödinger equation in the radial case 2006 Carlos E. Kenig
Frank Merle
5
+ On a class of nonlinear Schr�dinger equations 1992 Paul H. Rabinowitz
5
+ Free vibrations for a semilinear wave equation 1978 Paul H. Rabinowitz
5
+ Variational problems related to self-similar solutions of the heat equation 1987 Miguel Escobedo
Otared Kavian
5
+ Semigroups of Linear Operators and Applications to Partial Differential Equations 1983 A. Pazy
5
+ On the existence of the wave operators for a class of nonlinear Schrödinger equations 1994 J. Ginibre
Tohru Ozawa
G. Velo
4
+ Some oscillatory properties of the wave equation in several space dimensions 1988 Thierry Cazenave
Alain Haraux
4
+ Solutions for semilinear parabolic equations in Lp and regularity of weak solutions of the Navier-Stokes system 1986 Yoshikazu Giga
4
+ Solutions of semilinear Schrödinger equations in $H^s$ 1997 Hartmut Pecher
4
+ An Introduction to Semilinear Evolution Equations 1998 Thierry Cazenave
Alain Haraux
Yvan Martel
4
+ The global Cauchy problem for the non linear Klein-Gordon equation 1985 J. Ginibre
G. Velo
4
+ PDF Endpoint Strichartz estimates 1998 M. Keel
Terence Tao
4
+ Scattering Theory and Self-Similar Solutions for the Nonlinear Schrödinger Equation 2000 Thierry Cazenave
Fred B. Weissler
4
+ PDF Oscillatory phenomena associated to semilinear wave equations in one spatial dimension 1987 Thierry Cazenave
Alain Haraux
4
+ Large time behavior of solutions of a dissipative semilnear heat equation 1995 Miguel Escobedo
Otared Kavian
Hiroshi Matano
4
+ Asymptotic Behavior of Solutions for Schrödinger Equations with Dissipative Nonlinearities 2006 Akihiro Shimomura
4
+ Rapidly decaying solutions of an ordinary differential equation with applications to semilinear elliptic and parabolic partial differential equations 1986 Fred B. Weissler
4
+ Uniqueness of Rapidly Decaying Solutions to the Haraux–Weissler Equation 1996 Eiji Yanagida
4