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## Cazenave, Thierry

Compute Distance To:
 Author ID: cazenave.thierry Published as: Cazanave, Thierry; Cazenave, T.; Cazenave, Th.; Cazenave, Thierry
 Documents Indexed: 97 Publications since 1977, including 5 Books
all top 5

#### Co-Authors

 8 single-authored 38 Weissler, Fred B. 25 Dickstein, Flávio 13 Haraux, Alain 5 Escobedo Martínez, Miguel 5 Martel, Yvan 4 Fang, Daoyuan 4 Figueira, Mário S. R. 3 Balabane, Mikhael 3 Brézis, Haïm 3 Han, Zheng 3 Naumkin, Ivan P. 3 Xie, Jian 3 Zhao, Lifeng 2 Baillon, Jean-Bernard 2 Dias, João-Paulo 2 Douady, Adrien 2 Lions, Pierre-Louis 2 Merle, Frank 2 Ramiandrisoa, Arthur 2 Ruf, Bernhard 2 Vázquez, Luis 1 Berestycki, Henri 1 Correia, Simão 1 Costa, David Goldstein 1 Esteban, Maria J. 1 Gossez, Jean-Pierre 1 Kavian, Otared 1 Lopes, Orlando Francisco 1 Manasevich, Raul F. 1 Moreira dos Santos, Ederson 1 Nolasco de Carvalho, Alexandre 1 Pozio, Maria Assunta 1 Rabinowitz, Paul Henry 1 Scialom, Marcia 1 Shatah, Jalal 1 Snoussi, Seifeddine 1 Soares, Sérgio H. Monari 1 Tahvildar-Zadeh, A. Shadi 1 Tomei, Carlos 1 Vázquez, Leonor 1 Vega, Luis 1 Vilela, Mari Cruz 1 Zhang, Linzi 1 Zuazua, Enrique
all top 5

#### Serials

 5 Communications in Mathematical Physics 5 Comptes Rendus de l’Académie des Sciences. Série I 3 Journal of Mathematical Analysis and Applications 3 Journal of Differential Equations 3 Journal of Functional Analysis 3 Journal of Dynamics and Differential Equations 3 Discrete and Continuous Dynamical Systems 3 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Portugaliae Mathematica 2 Transactions of the American Mathematical Society 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 SIAM Journal on Mathematical Analysis 2 Advances in Differential Equations 2 Matemática Contemporânea 2 Communications in Contemporary Mathematics 2 Nonlinear Analysis. Theory, Methods & Applications 2 Progress in Nonlinear Differential Equations and Their Applications 1 IMA Journal of Numerical Analysis 1 Journal d’Analyse Mathématique 1 Funkcialaj Ekvacioj. Serio Internacia 1 Indiana University Mathematics Journal 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Nagoya Mathematical Journal 1 Proceedings of the American Mathematical Society 1 Quarterly of Applied Mathematics 1 Rendiconti del Seminario Matematico 1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Computational Mechanics 1 Publicacions Matemàtiques 1 Acta Mathematica Universitatis Comenianae. New Series 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Matemática Aplicada e Computacional 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Nonlinear World 1 Journal of Mathematical Sciences. University of Tokyo 1 NoDEA. Nonlinear Differential Equations and Applications 1 Revista Matemática Complutense 1 Journal of Evolution Equations 1 Portugaliae Mathematica. Nova Série 1 Advanced Nonlinear Studies 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Dynamics of Partial Differential Equations 1 Oxford Lecture Series in Mathematics and its Applications 1 Courant Lecture Notes in Mathematics 1 Discrete and Continuous Dynamical Systems. Series S 1 São Paulo Journal of Mathematical Sciences 1 Science China. Mathematics 1 Mathématiques & Applications (Paris)
all top 5

#### Fields

 90 Partial differential equations (35-XX) 10 Quantum theory (81-XX) 6 Ordinary differential equations (34-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Operator theory (47-XX) 4 Fluid mechanics (76-XX) 2 General and overarching topics; collections (00-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Numerical analysis (65-XX) 2 Optics, electromagnetic theory (78-XX) 2 Geophysics (86-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of deformable solids (74-XX)

#### Citations contained in zbMATH

85 Publications have been cited 2,994 times in 2,162 Documents Cited by Year
Semilinear Schrödinger equations. Zbl 1055.35003
Cazenave, Thierry
2003
Orbital stability of standing waves for some nonlinear Schrödinger equations. Zbl 0513.35007
Cazenave, T.; Lions, Pierre-Louis
1982
The Cauchy problem for the critical nonlinear Schrödinger equation in $$H^ s$$. Zbl 0706.35127
Cazenave, Thierry; Weissler, Fred B.
1990
An introduction to semilinear evolution equations. Transl. by Yvan Martel. Revised ed. Zbl 0926.35049
Cazenave, Thierry; Haraux, Alain
1998
Instabilité des etats stationnaires dans les équations de Schrödinger et de Klein-Gordon non linéaires. Zbl 0492.35010
Berestycki, Henri; Cazenave, Thierry
1981
Blow up for $$u_ t- \Delta u=g(u)$$ revisited. Zbl 0855.35063
Brézis, Haim; Cazenave, Thierry; Martel, Yvan; Ramiandrisoa, Arthur
1996
A nonlinear heat equation with singular initial data. Zbl 0868.35058
Brézis, Haïm; Cazenave, Thierry
1996
Introduction to semilinear evolution problems. Zbl 0786.35070
Cazenave, Thierry; Haraux, Alain
1990
Rapidly decaying solutions of the nonlinear Schrödinger equation. Zbl 0763.35085
Cazenave, Thierry; Weissler, Fred B.
1992
Some remarks on the nonlinear Schrödinger equation in the critical case. Zbl 0694.35170
Cazenave, Thierry; Weissler, Fred B.
1989
Solutions globales d’équations de la chaleur semi linéaires. (Global solutions of semi-linear heat equations). Zbl 0555.35067
Cazenave, Thierry; Lions, Pierre-Louis
1984
The Cauchy problem for the nonlinear Schrödinger equation in $$H^ 1$$. Zbl 0696.35153
Cazenave, Thierry; Weissler, Fred B.
1988
Equations d’évolution avec non linearite logarithmique. Zbl 0411.35051
Cazenave, Thierry; Haraux, Alain
1980
Asymptotically self-similar global solutions of the nonlinear Schrödinger and heat equations. Zbl 0916.35109
Cazenave, Thierry; Weissler, Fred B.
1998
Existence of localized solutions for a classical nonlinear Dirac field. Zbl 0596.35117
Cazenave, Thierry; Vazquez, Luis
1986
Stable solutions of the logarithmic Schrödinger equation. Zbl 0529.35068
Cazenave, Thierry
1983
Existence of excited states for a nonlinear Dirac field. Zbl 0696.35158
Balabane, Mikhael; Cazenave, Thierry; Douady, Adrien; Merle, Frank
1988
Scattering for the focusing energy-subcritical nonlinear Schrödinger equation. Zbl 1230.35128
Fang, Daoyuan; Xie, Jian; Cazenave, Thierry
2011
Existence of standing waves for Dirac fields with singular nonlinearities. Zbl 0721.35065
Balabane, Mikhael; Cazenave, Thierry; Vázquez, Luis
1990
An equation whose Fujita critical exponent is not given by scaling. Zbl 1132.35308
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2008
Harmonic maps of the hyperbolic space and development of singularities in wave maps and Yang-Mills fields. Zbl 0918.58074
Cazenave, Thierry; Shatah, Jalal; Tahvildar-Zadeh, A. Shadi
1998
Finite-time blowup for a complex Ginzburg-Landau equation. Zbl 1284.35411
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2013
A Schrödinger equation with time-oscillating nonlinearity. Zbl 1200.35285
Cazenave, Thierry; Scialom, Márcia
2010
Equations de Schrödinger non linéaires en dimension deux. Zbl 0428.35021
Cazenave, Thierry
1979
Continuous dependence for NLS in fractional order spaces. Zbl 1209.35124
Cazenave, Thierry; Fang, Daoyuan; Han, Zheng
2011
Stability and instability of stationary states in nonlinear Schrödinger equations. Zbl 0528.35008
Cazenave, T.
1983
Uniform estimates for solutions of nonlinear Klein-Gordon equations. Zbl 0568.35068
Cazenave, Thierry
1985
A note on the nonlinear Schrödinger equation in weak $$L^p$$ spaces. Zbl 0991.35084
Cazenave, Thierry; Vega, Luis; Vilela, Mari Cruz
2001
Sign-changing stationary solutions and blowup for the nonlinear heat equation in a ball. Zbl 1168.35022
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2009
A semilinear heat equation with concave-convex nonlinearity. Zbl 0949.35071
Cazenave, T.; Dickstein, F.; Escobedo, M.
1999
Oscillatory phenomena associated to semilinear wave equations in one spatial dimension. Zbl 0628.35058
Cazenave, T.; Haraux, A.
1987
Propriétés oscillatoires des solutions de certaines équations des ondes semi-linéaires. (Oscillatory properties of the solutions to some semilinear wave equations). Zbl 0571.35074
Cazenave, Thierry; Haraux, Alain
1984
Multi-scale multi-profile global solutions of parabolic equations in $$\mathbb{R}^N$$. Zbl 1250.35030
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2012
Universal solutions of a nonlinear heat equation on $$\mathbb R^N$$. Zbl 1170.35448
Dickstein, Flávio; Cazenave, Thierry; Weissler, Fred B.
2003
Some oscillatory properties of the wave equation in several space dimensions. Zbl 0656.35099
Cazenave, Thierry; Haraux, Alain
1988
Equation de Schrödinger non linéaire. Zbl 0349.35048
Baillon, Jean-Bernard; Cazenave, Thierry; Figueira, Mario
1977
Chaotic behavior of solutions of the Navier-Stokes system in $$\mathbb R^N$$. Zbl 1208.35101
Cazanave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2005
Self-similar solutions of a nonlinear heat equation. Zbl 0996.35031
Cazenave, Thierry; Dickstein, Flávio; Escobedo, Miguel; Weissler, Fred B.
2001
Unstable simple modes of the nonlinear string. Zbl 0866.34044
Cazenave, Thierry; Weissler, Fred B.
1996
On the stability of stationary states for nonlinear Schrödinger equations with an external magnetic field. Zbl 0681.35011
Cazenave, Thierry; Esteban, Maria J.
1988
Local existence, global existence, and scattering for the nonlinear Schrödinger equation. Zbl 1365.35149
Cazenave, Thierry; Naumkin, Ivan
2017
Universal solutions of the heat equation on $$\mathbb{R}^N$$. Zbl 1029.35105
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2003
Computer Go: An AI oriented survey. Zbl 0983.68152
Bouzy, B.; Cazenave, T.
2001
Scattering theory and self-similar solutions for the nonlinear Schrödinger equation. Zbl 0944.35095
Cazenave, Thierry; Weissler, Fred B.
2000
More self-similar solutions of the nonlinear Schrödinger equation. Zbl 0990.35121
Cazenave, Thierry; Weissler, Fred B.
1998
Standing waves of the complex Ginzburg-Landau equation. Zbl 1288.35442
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2014
Global existence and blowup for sign-changing solutions of the nonlinear heat equation. Zbl 1176.35010
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2009
A solution of the heat equation with a continuum of decay rates. Zbl 1085.35039
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2005
A Fujita-type blowup result and low energy scattering for a nonlinear Schrödinger equation. Zbl 1369.35083
Cazenave, Thierry; Correia, Simão; Dickstein, Flávio; Weissler, Fred B.
2015
Nonparabolic asymptotic limits of solutions of the heat equation on $${\mathbb{R}}^N$$. Zbl 1143.35008
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2007
Asymptotically periodic solutions for a class of nonlinear coupled oscillators. Zbl 0837.34056
Cazenave, Thierry; Weissler, Fred B.
1995
The structure of solutions to the pseudo-conformally invariant nonlinear Schrödinger equation. Zbl 0733.35094
Cazenave, Thierry; Weissler, Fred B.
1991
Modified scattering for the critical nonlinear Schrödinger equation. Zbl 1428.35490
Cazenave, Thierry; Naumkin, Ivan
2018
Detailed asymptotics for a convex Hamiltonian system with two degrees of freedom. Zbl 0771.34038
Cazenave, Thierry; Haraux, Alain; Weissler, Fred B.
1993
Some remarks on the nonlinear Schrödinger equation in the subcritical case. Zbl 0699.35217
Cazenave, Thierry; Weissler, Fred B.
1989
Some remarks on the asymptotic behaviour of solutions to nonlinear Schrödinger equations. Zbl 0584.35022
Cazenave, Thierry
1985
Finite-time blowup for a Schrödinger equation with nonlinear source term. Zbl 1404.35405
Cazenave, Thierry; Martel, Yvan; Zhao, Lifeng
2019
Local well-posedness for the $$H^2$$-critical nonlinear Schrödinger equation. Zbl 1372.35282
Cazenave, Thierry; Fang, Daoyuan; Han, Zheng
2016
Finite-time blowup for a complex Ginzburg-Landau equation with linear driving. Zbl 1305.35133
Cazenave, Thierry; Dias, João-Paulo; Figueira, Mário
2014
Multiscale asymptotic behavior of the Schrödinger equation. Zbl 1215.35148
Fang, Daoyuan; Xie, Jian; Cazenave, Thierry
2011
On the structure of global solutions of the nonlinear heat equation in a ball. Zbl 1183.35171
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2009
A solution of the constant coefficient heat equation on $$\mathbb R$$ with exceptional asymptotic behavior: an explicit construction. Zbl 1096.35016
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2006
A class of nonlinear, completely integrable abstract wave equations. Zbl 0783.35003
Cazenave, Thierry; Haraux, Alain; Weissler, Fred B.
1993
A complete integrable wave equation with a cubic homogeneous nonlinearity. Zbl 0755.35009
Cazenave, Thierry; Haraux, Alain; Weissler, Fred B.
1991
On the nature of free oscillations associated with some semilinear wave equations. Zbl 0596.35006
Cazenave, Th.; Haraux, A.
1985
Spectral properties of stationary solutions of the nonlinear heat equation. Zbl 1211.35151
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2011
Structural properties of the set of global solutions of the nonlinear heat equation. Zbl 1222.35108
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2010
A note on decay rates for Schrödinger’s equation. Zbl 1180.35439
Xie, Jian; Zhang, Linzi; Cazenave, Thierry
2010
Multiscale asymptotic behavior of a solution of the heat equation on $$\mathbb R^N$$. Zbl 1107.35053
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2006
On the influence of boundary conditions on flows in porous media. Zbl 0987.76092
Cazenave, Thierry; Dickstein, Flávio
2001
A two-parameter shooting problem for a second-order differential equation. Zbl 0810.34024
Cazenave, Thierry; Escobedo, Miguel
1994
Nonlinear effects in the wave equation with a cubic restoring force. Zbl 0697.65089
Cazenave, T.; Haraux, A.; Vazquez, L.; Weissler, F. B.
1989
Equation de Schrödinger avec non-linearite logarithmique. Zbl 0406.35013
Cazenave, Thierry; Haraux, Alain
1979
Non-regularity in Hölder and Sobolev spaces of solutions to the semilinear heat and Schrödinger equations. Zbl 1377.35046
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2017
Spatial decay and time-asymptotic profiles for solutions of Schrödinger equations. Zbl 1180.35476
Cazenave, Thierry; Weissler, Fred B.
2006
Some stability properties for minimal solutions of $$-\Delta u=\lambda g(u)$$. Zbl 1173.35489
Cazenave, Thierry; Escobedo, Miguel; Pozio, M. Assunta
2002
A remark on the decay of the solutions of some Schrödinger equations. Zbl 0531.35024
Cazenave, Thierry; Dias, João-Paulo; Figueira, Mário
1982
Solutions blowing up on any given compact set for the energy subcritical wave equation. Zbl 1437.35493
Cazenave, Thierry; Martel, Yvan; Zhao, Lifeng
2020
Solutions with prescribed local blow-up surface for the nonlinear wave equation. Zbl 1437.35494
Cazenave, Thierry; Martel, Yvan; Zhao, Lifeng
2019
Perturbations of self-similar solutions. Zbl 1409.35120
Cazenave, Thierry; Dickstein, Flávio; Naumkin, Ivan; Weissler, Fred B.
2019
On the initial value problem for a linear model of well-reservoir coupling. Zbl 0893.35103
Cazenave, Thierry; Dickstein, Flavio
1996
On the propagation of confined waves along the geodesics. Zbl 0711.35076
Cazenave, Thierry
1990
Existence d’états excités pour une équation de Dirac non linéaire. (Existence of excited states for a nonlinear Dirac equation). Zbl 0672.35069
Balabane, Mikhael; Cazenave, Thierry; Douady, Adrien; Merle, Frank
1988
Nonlinear Dirac equations: existence of stationary states. Zbl 0647.35012
Cazenave, T.
1987
Stationary states of nonlinear Dirac equation. Zbl 0611.34003
Cazenave, T.
1986
Solutions blowing up on any given compact set for the energy subcritical wave equation. Zbl 1437.35493
Cazenave, Thierry; Martel, Yvan; Zhao, Lifeng
2020
Finite-time blowup for a Schrödinger equation with nonlinear source term. Zbl 1404.35405
Cazenave, Thierry; Martel, Yvan; Zhao, Lifeng
2019
Solutions with prescribed local blow-up surface for the nonlinear wave equation. Zbl 1437.35494
Cazenave, Thierry; Martel, Yvan; Zhao, Lifeng
2019
Perturbations of self-similar solutions. Zbl 1409.35120
Cazenave, Thierry; Dickstein, Flávio; Naumkin, Ivan; Weissler, Fred B.
2019
Modified scattering for the critical nonlinear Schrödinger equation. Zbl 1428.35490
Cazenave, Thierry; Naumkin, Ivan
2018
Local existence, global existence, and scattering for the nonlinear Schrödinger equation. Zbl 1365.35149
Cazenave, Thierry; Naumkin, Ivan
2017
Non-regularity in Hölder and Sobolev spaces of solutions to the semilinear heat and Schrödinger equations. Zbl 1377.35046
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2017
Local well-posedness for the $$H^2$$-critical nonlinear Schrödinger equation. Zbl 1372.35282
Cazenave, Thierry; Fang, Daoyuan; Han, Zheng
2016
A Fujita-type blowup result and low energy scattering for a nonlinear Schrödinger equation. Zbl 1369.35083
Cazenave, Thierry; Correia, Simão; Dickstein, Flávio; Weissler, Fred B.
2015
Standing waves of the complex Ginzburg-Landau equation. Zbl 1288.35442
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2014
Finite-time blowup for a complex Ginzburg-Landau equation with linear driving. Zbl 1305.35133
Cazenave, Thierry; Dias, João-Paulo; Figueira, Mário
2014
Finite-time blowup for a complex Ginzburg-Landau equation. Zbl 1284.35411
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2013
Multi-scale multi-profile global solutions of parabolic equations in $$\mathbb{R}^N$$. Zbl 1250.35030
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2012
Scattering for the focusing energy-subcritical nonlinear Schrödinger equation. Zbl 1230.35128
Fang, Daoyuan; Xie, Jian; Cazenave, Thierry
2011
Continuous dependence for NLS in fractional order spaces. Zbl 1209.35124
Cazenave, Thierry; Fang, Daoyuan; Han, Zheng
2011
Multiscale asymptotic behavior of the Schrödinger equation. Zbl 1215.35148
Fang, Daoyuan; Xie, Jian; Cazenave, Thierry
2011
Spectral properties of stationary solutions of the nonlinear heat equation. Zbl 1211.35151
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2011
A Schrödinger equation with time-oscillating nonlinearity. Zbl 1200.35285
Cazenave, Thierry; Scialom, Márcia
2010
Structural properties of the set of global solutions of the nonlinear heat equation. Zbl 1222.35108
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2010
A note on decay rates for Schrödinger’s equation. Zbl 1180.35439
Xie, Jian; Zhang, Linzi; Cazenave, Thierry
2010
Sign-changing stationary solutions and blowup for the nonlinear heat equation in a ball. Zbl 1168.35022
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2009
Global existence and blowup for sign-changing solutions of the nonlinear heat equation. Zbl 1176.35010
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2009
On the structure of global solutions of the nonlinear heat equation in a ball. Zbl 1183.35171
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2009
An equation whose Fujita critical exponent is not given by scaling. Zbl 1132.35308
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2008
Nonparabolic asymptotic limits of solutions of the heat equation on $${\mathbb{R}}^N$$. Zbl 1143.35008
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2007
A solution of the constant coefficient heat equation on $$\mathbb R$$ with exceptional asymptotic behavior: an explicit construction. Zbl 1096.35016
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2006
Multiscale asymptotic behavior of a solution of the heat equation on $$\mathbb R^N$$. Zbl 1107.35053
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2006
Spatial decay and time-asymptotic profiles for solutions of Schrödinger equations. Zbl 1180.35476
Cazenave, Thierry; Weissler, Fred B.
2006
Chaotic behavior of solutions of the Navier-Stokes system in $$\mathbb R^N$$. Zbl 1208.35101
Cazanave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2005
A solution of the heat equation with a continuum of decay rates. Zbl 1085.35039
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2005
Semilinear Schrödinger equations. Zbl 1055.35003
Cazenave, Thierry
2003
Universal solutions of a nonlinear heat equation on $$\mathbb R^N$$. Zbl 1170.35448
Dickstein, Flávio; Cazenave, Thierry; Weissler, Fred B.
2003
Universal solutions of the heat equation on $$\mathbb{R}^N$$. Zbl 1029.35105
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2003
Some stability properties for minimal solutions of $$-\Delta u=\lambda g(u)$$. Zbl 1173.35489
Cazenave, Thierry; Escobedo, Miguel; Pozio, M. Assunta
2002
A note on the nonlinear Schrödinger equation in weak $$L^p$$ spaces. Zbl 0991.35084
Cazenave, Thierry; Vega, Luis; Vilela, Mari Cruz
2001
Self-similar solutions of a nonlinear heat equation. Zbl 0996.35031
Cazenave, Thierry; Dickstein, Flávio; Escobedo, Miguel; Weissler, Fred B.
2001
Computer Go: An AI oriented survey. Zbl 0983.68152
Bouzy, B.; Cazenave, T.
2001
On the influence of boundary conditions on flows in porous media. Zbl 0987.76092
Cazenave, Thierry; Dickstein, Flávio
2001
Scattering theory and self-similar solutions for the nonlinear Schrödinger equation. Zbl 0944.35095
Cazenave, Thierry; Weissler, Fred B.
2000
A semilinear heat equation with concave-convex nonlinearity. Zbl 0949.35071
Cazenave, T.; Dickstein, F.; Escobedo, M.
1999
An introduction to semilinear evolution equations. Transl. by Yvan Martel. Revised ed. Zbl 0926.35049
Cazenave, Thierry; Haraux, Alain
1998
Asymptotically self-similar global solutions of the nonlinear Schrödinger and heat equations. Zbl 0916.35109
Cazenave, Thierry; Weissler, Fred B.
1998
Harmonic maps of the hyperbolic space and development of singularities in wave maps and Yang-Mills fields. Zbl 0918.58074
Cazenave, Thierry; Shatah, Jalal; Tahvildar-Zadeh, A. Shadi
1998
More self-similar solutions of the nonlinear Schrödinger equation. Zbl 0990.35121
Cazenave, Thierry; Weissler, Fred B.
1998
Blow up for $$u_ t- \Delta u=g(u)$$ revisited. Zbl 0855.35063
Brézis, Haim; Cazenave, Thierry; Martel, Yvan; Ramiandrisoa, Arthur
1996
A nonlinear heat equation with singular initial data. Zbl 0868.35058
Brézis, Haïm; Cazenave, Thierry
1996
Unstable simple modes of the nonlinear string. Zbl 0866.34044
Cazenave, Thierry; Weissler, Fred B.
1996
On the initial value problem for a linear model of well-reservoir coupling. Zbl 0893.35103
Cazenave, Thierry; Dickstein, Flavio
1996
Asymptotically periodic solutions for a class of nonlinear coupled oscillators. Zbl 0837.34056
Cazenave, Thierry; Weissler, Fred B.
1995
A two-parameter shooting problem for a second-order differential equation. Zbl 0810.34024
Cazenave, Thierry; Escobedo, Miguel
1994
Detailed asymptotics for a convex Hamiltonian system with two degrees of freedom. Zbl 0771.34038
Cazenave, Thierry; Haraux, Alain; Weissler, Fred B.
1993
A class of nonlinear, completely integrable abstract wave equations. Zbl 0783.35003
Cazenave, Thierry; Haraux, Alain; Weissler, Fred B.
1993
Rapidly decaying solutions of the nonlinear Schrödinger equation. Zbl 0763.35085
Cazenave, Thierry; Weissler, Fred B.
1992
The structure of solutions to the pseudo-conformally invariant nonlinear Schrödinger equation. Zbl 0733.35094
Cazenave, Thierry; Weissler, Fred B.
1991
A complete integrable wave equation with a cubic homogeneous nonlinearity. Zbl 0755.35009
Cazenave, Thierry; Haraux, Alain; Weissler, Fred B.
1991
The Cauchy problem for the critical nonlinear Schrödinger equation in $$H^ s$$. Zbl 0706.35127
Cazenave, Thierry; Weissler, Fred B.
1990
Introduction to semilinear evolution problems. Zbl 0786.35070
Cazenave, Thierry; Haraux, Alain
1990
Existence of standing waves for Dirac fields with singular nonlinearities. Zbl 0721.35065
Balabane, Mikhael; Cazenave, Thierry; Vázquez, Luis
1990
On the propagation of confined waves along the geodesics. Zbl 0711.35076
Cazenave, Thierry
1990
Some remarks on the nonlinear Schrödinger equation in the critical case. Zbl 0694.35170
Cazenave, Thierry; Weissler, Fred B.
1989
Some remarks on the nonlinear Schrödinger equation in the subcritical case. Zbl 0699.35217
Cazenave, Thierry; Weissler, Fred B.
1989
Nonlinear effects in the wave equation with a cubic restoring force. Zbl 0697.65089
Cazenave, T.; Haraux, A.; Vazquez, L.; Weissler, F. B.
1989
The Cauchy problem for the nonlinear Schrödinger equation in $$H^ 1$$. Zbl 0696.35153
Cazenave, Thierry; Weissler, Fred B.
1988
Existence of excited states for a nonlinear Dirac field. Zbl 0696.35158
Balabane, Mikhael; Cazenave, Thierry; Douady, Adrien; Merle, Frank
1988
Some oscillatory properties of the wave equation in several space dimensions. Zbl 0656.35099
Cazenave, Thierry; Haraux, Alain
1988
On the stability of stationary states for nonlinear Schrödinger equations with an external magnetic field. Zbl 0681.35011
Cazenave, Thierry; Esteban, Maria J.
1988
Existence d’états excités pour une équation de Dirac non linéaire. (Existence of excited states for a nonlinear Dirac equation). Zbl 0672.35069
Balabane, Mikhael; Cazenave, Thierry; Douady, Adrien; Merle, Frank
1988
Oscillatory phenomena associated to semilinear wave equations in one spatial dimension. Zbl 0628.35058
Cazenave, T.; Haraux, A.
1987
Nonlinear Dirac equations: existence of stationary states. Zbl 0647.35012
Cazenave, T.
1987
Existence of localized solutions for a classical nonlinear Dirac field. Zbl 0596.35117
Cazenave, Thierry; Vazquez, Luis
1986
Stationary states of nonlinear Dirac equation. Zbl 0611.34003
Cazenave, T.
1986
Uniform estimates for solutions of nonlinear Klein-Gordon equations. Zbl 0568.35068
Cazenave, Thierry
1985
Some remarks on the asymptotic behaviour of solutions to nonlinear Schrödinger equations. Zbl 0584.35022
Cazenave, Thierry
1985
On the nature of free oscillations associated with some semilinear wave equations. Zbl 0596.35006
Cazenave, Th.; Haraux, A.
1985
Solutions globales d’équations de la chaleur semi linéaires. (Global solutions of semi-linear heat equations). Zbl 0555.35067
Cazenave, Thierry; Lions, Pierre-Louis
1984
Propriétés oscillatoires des solutions de certaines équations des ondes semi-linéaires. (Oscillatory properties of the solutions to some semilinear wave equations). Zbl 0571.35074
Cazenave, Thierry; Haraux, Alain
1984
Stable solutions of the logarithmic Schrödinger equation. Zbl 0529.35068
Cazenave, Thierry
1983
Stability and instability of stationary states in nonlinear Schrödinger equations. Zbl 0528.35008
Cazenave, T.
1983
Orbital stability of standing waves for some nonlinear Schrödinger equations. Zbl 0513.35007
Cazenave, T.; Lions, Pierre-Louis
1982
A remark on the decay of the solutions of some Schrödinger equations. Zbl 0531.35024
Cazenave, Thierry; Dias, João-Paulo; Figueira, Mário
1982
Instabilité des etats stationnaires dans les équations de Schrödinger et de Klein-Gordon non linéaires. Zbl 0492.35010
Berestycki, Henri; Cazenave, Thierry
1981
Equations d’évolution avec non linearite logarithmique. Zbl 0411.35051
Cazenave, Thierry; Haraux, Alain
1980
Equations de Schrödinger non linéaires en dimension deux. Zbl 0428.35021
Cazenave, Thierry
1979
Equation de Schrödinger avec non-linearite logarithmique. Zbl 0406.35013
Cazenave, Thierry; Haraux, Alain
1979
Equation de Schrödinger non linéaire. Zbl 0349.35048
Baillon, Jean-Bernard; Cazenave, Thierry; Figueira, Mario
1977
all top 5

#### Cited by 1,983 Authors

 39 Cazenave, Thierry 34 Ozawa, Tohru 32 Zhang, Jian 27 Merle, Frank 24 Carles, Rémi 23 Weissler, Fred B. 22 Raphael, Pierre 21 Hayashi, Nakao 21 Miao, Changxing 20 Feng, Binhua 20 Martel, Yvan 20 Ohta, Masahito 18 Guo, Boling 18 Wang, Baoxiang 16 Haraux, Alain 15 Kaikina, Elena Igorevna 14 Diaz Diaz, Jesus Ildefonso 14 Rodríguez-Bernal, Aníbal 14 Saanouni, Tarek 14 Souplet, Philippe 13 Cuccagna, Scipio 13 Fang, Daoyuan 13 Squassina, Marco 13 Tayachi, Slim 13 Zhao, Lifeng 13 Zhu, Shihui 12 Dickstein, Flávio 12 Hoshino, Gaku 12 Jeanjean, Louis 12 Kenig, Carlos Eduardo 12 Murphy, Jason 12 Nakamura, Makoto 12 Naumkin, Pavel Ivanovich 12 Ponce, Gustavo 12 Tzvetkov, Nikolay 12 Visciglia, Nicola 12 Xu, Guixiang 12 Zheng, Jiqiang 11 Cui, Shangbin 11 Dias, João-Paulo 11 Gazzola, Filippo 11 Nakanishi, Kenji 11 Ogawa, Takayoshi 11 Zhang, Xiaoyi 11 Zuazua, Enrique 10 Antonelli, Paolo 10 Chen, Jianqing 10 Ding, Yanheng 10 Ferreira, Lucas Catão de Freitas 10 Figueira, Mário S. R. 10 Fino, Ahmad Z. 10 Gan, Zaihui 10 Georgiev, Vladimir S. 10 Ignat, Liviu I. 10 Krieger, Joachim 10 Méhats, Florian 10 Tao, Terence 10 Vega, Luis 10 Visan, Monica 10 Xu, Runzhang 9 Dodson, Benjamin G. 9 Guo, Cuihua 9 Ikeda, Masahiro 9 Ma, Li 9 Shatah, Jalal 9 Wang, Liangwei 9 Zhao, Dun 8 Banica, Valeria 8 Bao, Weizhu 8 Benci, Vieri 8 Comech, Andrew 8 Dinh, Van Duong 8 Hajaiej, Hichem 8 Hyakuna, Ryosuke 8 Lenzmann, Enno 8 Masmoudi, Nader 8 Mironchenko, Andrii 8 Pastor, Ademir 8 Quittner, Pavol 8 Staffilani, Gigliola 7 Adami, Riccardo 7 Angulo Pava, Jaime 7 Bégout, Pascal 7 Bellazzini, Jacopo 7 Chen, Jiecheng 7 Correia, Simão 7 Debussche, Arnaud 7 Ginibre, Jean 7 Guo, Zihua 7 Huang, Juan 7 Karachalios, Nikos I. 7 Kirane, Mokhtar 7 Lions, Pierre-Louis 7 Naumkin, Ivan P. 7 Oh, Tadahiro 7 Pazoto, Ademir Fernando 7 Pelinovsky, Dmitry Efimovich 7 Schlag, Wilhelm 7 Shu, Ji 7 Tan, Zhong ...and 1,883 more Authors
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#### Cited in 290 Serials

 199 Journal of Differential Equations 162 Journal of Mathematical Analysis and Applications 133 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 77 Communications in Mathematical Physics 76 Journal of Functional Analysis 68 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 50 Journal of Mathematical Physics 41 Communications in Partial Differential Equations 41 Discrete and Continuous Dynamical Systems 41 Communications on Pure and Applied Analysis 39 Transactions of the American Mathematical Society 34 Proceedings of the American Mathematical Society 33 Communications in Contemporary Mathematics 32 Archive for Rational Mechanics and Analysis 31 Calculus of Variations and Partial Differential Equations 30 Journal de Mathématiques Pures et Appliquées. Neuvième Série 29 Physica D 26 NoDEA. Nonlinear Differential Equations and Applications 25 Applicable Analysis 24 Nonlinear Analysis. Theory, Methods & Applications 23 Applied Mathematics Letters 19 Acta Mathematica Sinica. English Series 19 Nonlinear Analysis. Real World Applications 18 SIAM Journal on Mathematical Analysis 18 Journal of Evolution Equations 17 Mathematical Methods in the Applied Sciences 17 Duke Mathematical Journal 17 Comptes Rendus. Mathématique. Académie des Sciences, Paris 16 Applied Mathematics and Computation 15 Discrete and Continuous Dynamical Systems. Series B 14 Nonlinearity 14 Advances in Mathematics 14 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 13 ZAMP. Zeitschrift für angewandte Mathematik und Physik 13 Mathematische Annalen 13 Annales de l’Institut Henri Poincaré. Physique Théorique 12 Journal of Dynamics and Differential Equations 12 Advanced Nonlinear Studies 11 Computers & Mathematics with Applications 11 Journal d’Analyse Mathématique 11 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 11 Journal of Nonlinear Science 10 Annali di Matematica Pura ed Applicata. Serie Quarta 10 Mathematische Zeitschrift 10 Quarterly of Applied Mathematics 10 Chinese Annals of Mathematics. Series B 10 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 10 Annales Henri Poincaré 10 Journal of Hyperbolic Differential Equations 9 Abstract and Applied Analysis 9 Journal of the European Mathematical Society (JEMS) 9 Boundary Value Problems 9 Science China. Mathematics 9 Evolution Equations and Control Theory 8 Communications on Pure and Applied Mathematics 8 Journal of Computational Physics 8 Inventiones Mathematicae 7 Reviews in Mathematical Physics 7 Journal of the American Mathematical Society 7 The Journal of Fourier Analysis and Applications 6 SIAM Journal on Control and Optimization 6 Mathematical and Computer Modelling 6 Differential Equations 6 Discrete and Continuous Dynamical Systems. Series S 6 Advances in Nonlinear Analysis 6 Séminaire Laurent Schwartz. EDP et Applications 5 Archiv der Mathematik 5 Journal of Computational and Applied Mathematics 5 Osaka Journal of Mathematics 5 Systems & Control Letters 5 Acta Applicandae Mathematicae 5 Applied Numerical Mathematics 5 Acta Mathematicae Applicatae Sinica. English Series 5 Revista Matemática Iberoamericana 5 Bulletin of the American Mathematical Society. New Series 5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 5 Mathematical Control and Related Fields 4 Journal of Statistical Physics 4 Letters in Mathematical Physics 4 Mathematical Notes 4 Annales de l’Institut Fourier 4 Applied Mathematics and Optimization 4 Manuscripta Mathematica 4 Memoirs of the American Mathematical Society 4 Numerische Mathematik 4 Publications of the Research Institute for Mathematical Sciences, Kyoto University 4 Zeitschrift für Analysis und ihre Anwendungen 4 Applied Mathematics and Mechanics. (English Edition) 4 MCSS. Mathematics of Control, Signals, and Systems 4 Forum Mathematicum 4 Science in China. Series A 4 Applied Mathematics. Series B (English Edition) 4 Bulletin des Sciences Mathématiques 4 Advances in Computational Mathematics 4 Revista Matemática Complutense 4 Journal of Mathematical Fluid Mechanics 4 Mediterranean Journal of Mathematics 4 Differential Equations and Applications 4 Journal of Elliptic and Parabolic Equations 3 Theoretical and Mathematical Physics ...and 190 more Serials
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#### Cited in 49 Fields

 2,037 Partial differential equations (35-XX) 226 Quantum theory (81-XX) 157 Dynamical systems and ergodic theory (37-XX) 109 Operator theory (47-XX) 94 Fluid mechanics (76-XX) 81 Numerical analysis (65-XX) 79 Systems theory; control (93-XX) 73 Statistical mechanics, structure of matter (82-XX) 72 Ordinary differential equations (34-XX) 67 Calculus of variations and optimal control; optimization (49-XX) 62 Optics, electromagnetic theory (78-XX) 57 Functional analysis (46-XX) 56 Global analysis, analysis on manifolds (58-XX) 56 Mechanics of deformable solids (74-XX) 50 Harmonic analysis on Euclidean spaces (42-XX) 46 Probability theory and stochastic processes (60-XX) 32 Real functions (26-XX) 27 Integral equations (45-XX) 24 Biology and other natural sciences (92-XX) 16 Relativity and gravitational theory (83-XX) 15 Mechanics of particles and systems (70-XX) 10 Differential geometry (53-XX) 10 Classical thermodynamics, heat transfer (80-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Astronomy and astrophysics (85-XX) 8 Potential theory (31-XX) 6 Functions of a complex variable (30-XX) 6 Operations research, mathematical programming (90-XX) 5 Number theory (11-XX) 5 Approximations and expansions (41-XX) 5 Computer science (68-XX) 4 Measure and integration (28-XX) 4 Geophysics (86-XX) 3 Special functions (33-XX) 3 General topology (54-XX) 2 Combinatorics (05-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Category theory; homological algebra (18-XX) 2 Topological groups, Lie groups (22-XX) 2 Difference and functional equations (39-XX) 2 Abstract harmonic analysis (43-XX) 2 Integral transforms, operational calculus (44-XX) 2 Statistics (62-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Field theory and polynomials (12-XX) 1 Nonassociative rings and algebras (17-XX) 1 Algebraic topology (55-XX)