## Cazenave, Thierry

Compute Distance To:
 Author ID: cazenave.thierry Published as: Cazenave, Thierry; Cazenave, T.; Cazenave, Th.; Cazanave, Thierry more...less
 Documents Indexed: 101 Publications since 1977, including 3 Books 2 Contributions as Editor Co-Authors: 42 Co-Authors with 91 Joint Publications 1,192 Co-Co-Authors
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### Co-Authors

 10 single-authored 40 Weissler, Fred B. 27 Dickstein, Flávio 13 Haraux, Alain 8 Naumkin, Ivan P. 6 Martel, Yvan 5 Escobedo Martínez, Miguel 5 Han, Zheng 4 Fang, Daoyuan 4 Figueira, Mário S. R. 3 Balabane, Mikhael 3 Brézis, Haïm 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 1 Berestycki, Henri 1 Bouzy, Bruno 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 Vega, Luis 1 Vilela, Mari Cruz 1 Zhang, Linzi 1 Zuazua, Enrique
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### Serials

 5 Communications in Mathematical Physics 5 Comptes Rendus de l’Académie des Sciences. Série I 4 Journal of Dynamics and Differential Equations 3 Journal of Mathematical Analysis and Applications 3 Journal of Differential Equations 3 Journal of Functional Analysis 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Discrete and Continuous Dynamical Systems 3 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 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 Discrete and Continuous Dynamical Systems. Series S 2 Nonlinear Analysis. Theory, Methods & Applications 2 Progress in Nonlinear Differential Equations and Their Applications 1 Artificial Intelligence 1 IMA Journal of Numerical Analysis 1 Journal d’Analyse Mathématique 1 American Journal of Mathematics 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 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 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 São Paulo Journal of Mathematical Sciences 1 Science China. Mathematics 1 Séminaire Laurent Schwartz. EDP et Applications 1 Mathématiques & Applications (Paris)
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### Fields

 98 Partial differential equations (35-XX) 10 Quantum theory (81-XX) 7 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 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

### Citations contained in zbMATH Open

91 Publications have been cited 3,579 times in 2,593 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
A nonlinear heat equation with singular initial data. Zbl 0868.35058
Brézis, Haïm; Cazenave, Thierry
1996
Blow up for $$u_ t- \Delta u=g(u)$$ revisited. Zbl 0855.35063
Brézis, Haim; Cazenave, Thierry; Martel, Yvan; Ramiandrisoa, Arthur
1996
Equations d’évolution avec non linearite logarithmique. Zbl 0411.35051
Cazenave, Thierry; Haraux, Alain
1980
Rapidly decaying solutions of the nonlinear Schrödinger equation. Zbl 0763.35085
Cazenave, Thierry; Weissler, Fred B.
1992
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
Introduction to semilinear evolution problems. (Introduction aux problèmes d’évolution semi-linéaires.) Zbl 0786.35070
Cazenave, Thierry; Haraux, Alain
1990
The Cauchy problem for the nonlinear Schrödinger equation in $$H^ 1$$. Zbl 0696.35153
Cazenave, Thierry; Weissler, Fred B.
1988
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
Asymptotically self-similar global solutions of the nonlinear Schrödinger and heat equations. Zbl 0916.35109
Cazenave, Thierry; Weissler, Fred B.
1998
Scattering for the focusing energy-subcritical nonlinear Schrödinger equation. Zbl 1230.35128
Fang, Daoyuan; Xie, Jian; Cazenave, Thierry
2011
An equation whose Fujita critical exponent is not given by scaling. Zbl 1132.35308
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2008
Existence of excited states for a nonlinear Dirac field. Zbl 0696.35158
1988
Existence of standing waves for Dirac fields with singular nonlinearities. Zbl 0721.35065
Balabane, Mikhael; Cazenave, Thierry; Vázquez, Luis
1990
Some remarks on the nonlinear Schrödinger equation in the critical case. Zbl 0694.35170
Cazenave, Thierry; Weissler, Fred B.
1989
Harmonic maps of the hyperbolic space and development of singularities in wave maps and Yang-Mills fields. Zbl 0918.58074
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
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
Local existence, global existence, and scattering for the nonlinear Schrödinger equation. Zbl 1365.35149
Cazenave, Thierry; Naumkin, Ivan
2017
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
Modified scattering for the critical nonlinear Schrödinger equation. Zbl 1428.35490
Cazenave, Thierry; Naumkin, Ivan
2018
Stability and instability of stationary states in nonlinear Schrödinger equations. Zbl 0528.35008
Cazenave, T.
1983
A semilinear heat equation with concave-convex nonlinearity. Zbl 0949.35071
Cazenave, T.; Dickstein, F.; Escobedo, M.
1999
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
On the stability of stationary states for nonlinear Schrödinger equations with an external magnetic field. Zbl 0681.35011
Cazenave, Thierry; Esteban, Maria J.
1988
Unstable simple modes of the nonlinear string. Zbl 0866.34044
Cazenave, Thierry; Weissler, Fred B.
1996
Oscillatory phenomena associated to semilinear wave equations in one spatial dimension. Zbl 0628.35058
Cazenave, T.; Haraux, A.
1987
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
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
Universal solutions of the heat equation on $$\mathbb{R}^N$$. Zbl 1029.35105
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2003
Self-similar solutions of a nonlinear heat equation. Zbl 0996.35031
Cazenave, Thierry; Dickstein, Flávio; Escobedo, Miguel; Weissler, Fred B.
2001
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 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
Chaotic behavior of solutions of the Navier-Stokes system in $$\mathbb R^N$$. Zbl 1208.35101
Cazanave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2005
Scattering theory and self-similar solutions for the nonlinear Schrödinger equation. Zbl 0944.35095
Cazenave, Thierry; Weissler, Fred B.
2000
Computer Go: An AI oriented survey. Zbl 0983.68152
Bouzy, B.; Cazenave, T.
2001
Standing waves of the complex Ginzburg-Landau equation. Zbl 1288.35442
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2014
The structure of solutions to the pseudo-conformally invariant nonlinear Schrödinger equation. Zbl 0733.35094
Cazenave, Thierry; Weissler, Fred B.
1991
Finite-time blowup for a Schrödinger equation with nonlinear source term. Zbl 1404.35405
Cazenave, Thierry; Martel, Yvan; Zhao, Lifeng
2019
Asymptotically periodic solutions for a class of nonlinear coupled oscillators. Zbl 0837.34056
Cazenave, Thierry; Weissler, Fred B.
1995
A solution of the heat equation with a continuum of decay rates. Zbl 1085.35039
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2005
More self-similar solutions of the nonlinear Schrödinger equation. Zbl 0990.35121
Cazenave, Thierry; Weissler, Fred B.
1998
Nonparabolic asymptotic limits of solutions of the heat equation on $${\mathbb{R}}^N$$. Zbl 1143.35008
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2007
Finite-time blowup for a complex Ginzburg-Landau equation with linear driving. Zbl 1305.35133
Cazenave, Thierry; Dias, João-Paulo; Figueira, Mário
2014
Local well-posedness for the $$H^2$$-critical nonlinear Schrödinger equation. Zbl 1372.35282
Cazenave, Thierry; Fang, Daoyuan; Han, Zheng
2016
A class of nonlinear, completely integrable abstract wave equations. Zbl 0783.35003
Cazenave, Thierry; Haraux, Alain; Weissler, Fred B.
1993
Detailed asymptotics for a convex Hamiltonian system with two degrees of freedom. Zbl 0771.34038
Cazenave, Thierry; Haraux, Alain; Weissler, Fred B.
1993
Asymptotic behavior for a Schrödinger equation with nonlinear subcritical dissipation. Zbl 1440.35305
Cazenave, Thierry; Han, Zheng
2020
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
Equation de Schrödinger avec non-linearite logarithmique. Zbl 0406.35013
Cazenave, Thierry; Haraux, Alain
1979
A complete integrable wave equation with a cubic homogeneous nonlinearity. (Une équation des ondes complètement intégrable avec non- linéarité homogène de degré trois.) Zbl 0755.35009
Cazenave, Thierry; Haraux, Alain; Weissler, Fred B.
1991
Some remarks on the asymptotic behaviour of solutions to nonlinear Schrödinger equations. Zbl 0584.35022
Cazenave, Thierry
1985
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
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
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
Perturbations of self-similar solutions. Zbl 1409.35120
Cazenave, Thierry; Dickstein, Flávio; Naumkin, Ivan; Weissler, Fred B.
2019
Solutions blowing up on any given compact set for the energy subcritical wave equation. Zbl 1437.35493
Cazenave, Thierry; Martel, Yvan; Zhao, Lifeng
2020
On the influence of boundary conditions on flows in porous media. Zbl 0987.76092
Cazenave, Thierry; Dickstein, Flávio
2001
Some stability properties for minimal solutions of $$-\Delta u=\lambda g(u)$$. Zbl 1173.35489
Cazenave, Thierry; Escobedo, Miguel; Pozio, M. Assunta
2002
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
Nonlinear effects in the wave equation with a cubic restoring force. Zbl 0697.65089
Cazenave, T.; Haraux, A.; Vazquez, L.; Weissler, F. B.
1989
Some remarks on the nonlinear Schrödinger equation in the subcritical case. Zbl 0699.35217
Cazenave, Thierry; Weissler, Fred B.
1989
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
Asymptotic behavior for a dissipative nonlinear Schrödinger equation. Zbl 1458.35383
Cazenave, Thierry; Han, Zheng; Naumkin, Ivan
2021
Solutions with prescribed local blow-up surface for the nonlinear wave equation. Zbl 1437.35494
Cazenave, Thierry; Martel, Yvan; Zhao, Lifeng
2019
A two-parameter shooting problem for a second-order differential equation. Zbl 0810.34024
Cazenave, Thierry; Escobedo, Miguel
1994
A remark on the decay of the solutions of some Schrödinger equations. Zbl 0531.35024
Cazenave, Thierry; Dias, João-Paulo; Figueira, Mário
1982
Spatial decay and time-asymptotic profiles for solutions of Schrödinger equations. Zbl 1180.35476
Cazenave, Thierry; Weissler, Fred B.
2006
Blowup on an arbitrary compact set for a Schrödinger equation with nonlinear source term. Zbl 1466.35323
Cazenave, Thierry; Han, Zheng; Martel, Yvan
2021
On the initial value problem for a linear model of well-reservoir coupling. Zbl 0893.35103
Cazenave, Thierry; Dickstein, Flavio
1996
Stationary states of nonlinear Dirac equation. Zbl 0611.34003
Cazenave, T.
1986
Nonlinear Dirac equations: existence of stationary states. Zbl 0647.35012
Cazenave, T.
1987
Existence d’états excités pour une équation de Dirac non linéaire. (Existence of excited states for a nonlinear Dirac equation). Zbl 0672.35069
1988
On the nature of free oscillations associated with some semilinear wave equations. Zbl 0596.35006
Cazenave, Th.; Haraux, A.
1985
Blowup for a time-oscillating nonlinear heat equation. Zbl 1324.35099
Cazenave, Th.; Escobedo, M.; Zuazua, E.
2013
Contributions to nonlinear elliptic equations and systems. A tribute to Djairo Guedes de Figueiredo on the occasion of his 80th birthday. Zbl 1336.35006
2015
On the propagation of confined waves along the geodesics. Zbl 0711.35076
Cazenave, Thierry
1990
Local smooth solutions of the nonlinear Klein-Gordon equation. Zbl 1479.35570
Cazenave, Thierry; Naumkin, Ivan
2021
Asymptotic behavior for a dissipative nonlinear Schrödinger equation. Zbl 1458.35383
Cazenave, Thierry; Han, Zheng; Naumkin, Ivan
2021
Blowup on an arbitrary compact set for a Schrödinger equation with nonlinear source term. Zbl 1466.35323
Cazenave, Thierry; Han, Zheng; Martel, Yvan
2021
Local smooth solutions of the nonlinear Klein-Gordon equation. Zbl 1479.35570
Cazenave, Thierry; Naumkin, Ivan
2021
Asymptotic behavior for a Schrödinger equation with nonlinear subcritical dissipation. Zbl 1440.35305
Cazenave, Thierry; Han, Zheng
2020
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
Perturbations of self-similar solutions. Zbl 1409.35120
Cazenave, Thierry; Dickstein, Flávio; Naumkin, Ivan; Weissler, Fred B.
2019
Solutions with prescribed local blow-up surface for the nonlinear wave equation. Zbl 1437.35494
Cazenave, Thierry; Martel, Yvan; Zhao, Lifeng
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
Contributions to nonlinear elliptic equations and systems. A tribute to Djairo Guedes de Figueiredo on the occasion of his 80th birthday. Zbl 1336.35006
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
Blowup for a time-oscillating nonlinear heat equation. Zbl 1324.35099
Cazenave, Th.; Escobedo, M.; Zuazua, E.
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
1998
More self-similar solutions of the nonlinear Schrödinger equation. Zbl 0990.35121
Cazenave, Thierry; Weissler, Fred B.
1998
A nonlinear heat equation with singular initial data. Zbl 0868.35058
Brézis, Haïm; Cazenave, Thierry
1996
Blow up for $$u_ t- \Delta u=g(u)$$ revisited. Zbl 0855.35063
Brézis, Haim; Cazenave, Thierry; Martel, Yvan; Ramiandrisoa, Arthur
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
A class of nonlinear, completely integrable abstract wave equations. Zbl 0783.35003
Cazenave, Thierry; Haraux, Alain; Weissler, Fred B.
1993
Detailed asymptotics for a convex Hamiltonian system with two degrees of freedom. Zbl 0771.34038
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. (Une équation des ondes complètement intégrable avec non- linéarité homogène de degré trois.) 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. (Introduction aux problèmes d’évolution semi-linéaires.) 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
Nonlinear effects in the wave equation with a cubic restoring force. Zbl 0697.65089
Cazenave, T.; Haraux, A.; Vazquez, L.; Weissler, F. B.
1989
Some remarks on the nonlinear Schrödinger equation in the subcritical case. Zbl 0699.35217
Cazenave, Thierry; Weissler, Fred 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
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
Some oscillatory properties of the wave equation in several space dimensions. Zbl 0656.35099
Cazenave, Thierry; Haraux, Alain
1988
Existence d’états excités pour une équation de Dirac non linéaire. (Existence of excited states for a nonlinear Dirac equation). Zbl 0672.35069
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 2,221 Authors

 44 Cazenave, Thierry 34 Ozawa, Tohru 30 Merle, Frank 29 Carles, Rémi 26 Martel, Yvan 25 Dinh, Van Duong 25 Feng, Binhua 25 Zhang, Jian 24 Hayashi, Nakao 24 Raphael, Pierre 24 Weissler, Fred B. 20 Miao, Changxing 20 Ohta, Masahito 19 Guo, Boling 19 Naumkin, Pavel Ivanovich 18 Murphy, Jason 18 Wang, Baoxiang 17 Diaz Diaz, Jesus Ildefonso 17 Jeanjean, Louis 17 Zheng, Jiqiang 16 Haraux, Alain 15 Kaikina, Elena Igorevna 15 Rodríguez-Bernal, Aníbal 15 Saanouni, Tarek 14 Cuccagna, Scipio 14 Dodson, Benjamin G. 14 Kenig, Carlos Eduardo 14 Nakamura, Makoto 14 Pastor, Ademir 14 Tayachi, Slim 14 Zhao, Lifeng 13 Dickstein, Flávio 13 Ding, Yanheng 13 Nakanishi, Kenji 13 Naumkin, Ivan P. 13 Souplet, Philippe 13 Squassina, Marco 13 Visciglia, Nicola 12 Dias, João-Paulo 12 Fang, Daoyuan 12 Gazzola, Filippo 12 Hoshino, Gaku 12 Ikeda, Masahiro 12 Ogawa, Takayoshi 12 Visan, Monica 12 Zhu, Shihui 12 Zuazua, Enrique 11 Antonelli, Paolo 11 Figueira, Mário S. R. 11 Fino, Ahmad Z. 11 Georgiev, Vladimir S. 11 Hajaiej, Hichem 11 Kikuchi, Hiroaki 11 Ponce, Gustavo 11 Tzvetkov, Nikolay 11 Wang, Liangwei 11 Xu, Guixiang 11 Xu, Runzhang 11 Zhang, Xiaoyi 10 Hernandez Ardila, Alex 10 Banica, Valeria 10 Chen, Jianqing 10 Duyckaerts, Thomas 10 Ferreira, Lucas Catão de Freitas 10 Gan, Zaihui 10 Ibrahim, Slim 10 Ignat, Liviu I. 10 Krieger, Joachim 10 Méhats, Florian 10 Mironchenko, Andrii 10 Tao, Terence 10 Vega, Luis 9 Adami, Riccardo 9 Bao, Weizhu 9 Comech, Andrew 9 Inui, Takahisa 9 Quittner, Pavol 9 Shatah, Jalal 9 Soffer, Avraham 9 Wei, Juncheng 9 Zhao, Dun 8 Angulo Pava, Jaime 8 Bégout, Pascal 8 Benci, Vieri 8 Cho, Yonggeun 8 Correia, Simão 8 Cui, Shangbin 8 Debussche, Arnaud 8 Guzmán, Carlos M. 8 Killip, Rowan 8 Kirane, Mokhtar 8 Le Coz, Stefan 8 Lenzmann, Enno 8 Luo, Xiao 8 Ma, Li 8 Masmoudi, Nader 8 Oh, Tadahiro 8 Staffilani, Gigliola 8 Stefanov, Atanas G. 7 Alouini, Brahim ...and 2,121 more Authors
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### Cited in 326 Serials

 208 Journal of Differential Equations 180 Journal of Mathematical Analysis and Applications 135 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 83 Communications in Mathematical Physics 81 Journal of Functional Analysis 68 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 59 Journal of Mathematical Physics 53 Discrete and Continuous Dynamical Systems 52 Communications on Pure and Applied Analysis 50 Communications in Partial Differential Equations 43 Calculus of Variations and Partial Differential Equations 41 Transactions of the American Mathematical Society 39 Archive for Rational Mechanics and Analysis 39 Proceedings of the American Mathematical Society 38 Journal of Evolution Equations 37 Communications in Contemporary Mathematics 35 Journal de Mathématiques Pures et Appliquées. Neuvième Série 34 NoDEA. Nonlinear Differential Equations and Applications 32 Applicable Analysis 31 Physica D 28 SIAM Journal on Mathematical Analysis 27 ZAMP. Zeitschrift für angewandte Mathematik und Physik 25 Nonlinear Analysis. Real World Applications 24 Applied Mathematics Letters 22 Nonlinear Analysis. Theory, Methods & Applications 21 Nonlinearity 20 Acta Mathematica Sinica. English Series 19 Comptes Rendus. Mathématique. Académie des Sciences, Paris 18 Duke Mathematical Journal 18 Discrete and Continuous Dynamical Systems. Series B 17 Mathematical Methods in the Applied Sciences 17 Journal of Dynamics and Differential Equations 17 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 16 Advances in Mathematics 15 Mathematische Annalen 15 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 15 Advanced Nonlinear Studies 15 Boundary Value Problems 15 Discrete and Continuous Dynamical Systems. Series S 14 Applied Mathematics and Computation 13 Quarterly of Applied Mathematics 13 Annales de l’Institut Henri Poincaré. Physique Théorique 13 Journal of Nonlinear Science 13 Annales Henri Poincaré 13 Journal of Hyperbolic Differential Equations 12 Evolution Equations and Control Theory 11 Computers & Mathematics with Applications 11 Journal d’Analyse Mathématique 11 Annali di Matematica Pura ed Applicata. Serie Quarta 11 Chinese Annals of Mathematics. Series B 10 Mathematische Zeitschrift 10 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 10 Journal of the European Mathematical Society (JEMS) 10 Science China. Mathematics 10 Séminaire Laurent Schwartz. EDP et Applications 9 Inventiones Mathematicae 9 Applied Numerical Mathematics 9 Advances in Nonlinear Analysis 9 SN Partial Differential Equations and Applications 8 Communications on Pure and Applied Mathematics 8 Journal of Computational Physics 8 Reviews in Mathematical Physics 8 SIAM Journal on Control and Optimization 8 The Journal of Fourier Analysis and Applications 8 Abstract and Applied Analysis 7 Applied Mathematics and Optimization 7 Acta Applicandae Mathematicae 7 Revista Matemática Iberoamericana 7 Journal of the American Mathematical Society 7 Mediterranean Journal of Mathematics 7 Advances in Difference Equations 7 Analysis and Mathematical Physics 7 Electronic Research Archive 6 Annales de l’Institut Fourier 6 Archiv der Mathematik 6 Osaka Journal of Mathematics 6 Acta Mathematicae Applicatae Sinica. English Series 6 Mathematical and Computer Modelling 6 The Journal of Geometric Analysis 6 Bulletin of the American Mathematical Society. New Series 6 Revista Matemática Complutense 6 Differential Equations 6 Mathematical Control and Related Fields 6 Journal of Elliptic and Parabolic Equations 6 AIMS Mathematics 5 Journal of Statistical Physics 5 Letters in Mathematical Physics 5 Theoretical and Mathematical Physics 5 Manuscripta Mathematica 5 Memoirs of the American Mathematical Society 5 Numerische Mathematik 5 MCSS. Mathematics of Control, Signals, and Systems 5 Electronic Journal of Differential Equations (EJDE) 5 Journal of Dynamical and Control Systems 5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 5 Annals of PDE 4 Mathematical Notes 4 Mathematics of Computation 4 Journal of Computational and Applied Mathematics ...and 226 more Serials
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### Cited in 49 Fields

 2,466 Partial differential equations (35-XX) 277 Quantum theory (81-XX) 181 Dynamical systems and ergodic theory (37-XX) 129 Operator theory (47-XX) 115 Fluid mechanics (76-XX) 110 Numerical analysis (65-XX) 92 Statistical mechanics, structure of matter (82-XX) 92 Systems theory; control (93-XX) 90 Calculus of variations and optimal control; optimization (49-XX) 79 Optics, electromagnetic theory (78-XX) 78 Ordinary differential equations (34-XX) 71 Functional analysis (46-XX) 71 Mechanics of deformable solids (74-XX) 64 Global analysis, analysis on manifolds (58-XX) 59 Probability theory and stochastic processes (60-XX) 51 Harmonic analysis on Euclidean spaces (42-XX) 42 Real functions (26-XX) 32 Biology and other natural sciences (92-XX) 24 Integral equations (45-XX) 18 Relativity and gravitational theory (83-XX) 17 Mechanics of particles and systems (70-XX) 13 Astronomy and astrophysics (85-XX) 12 Differential geometry (53-XX) 10 Classical thermodynamics, heat transfer (80-XX) 9 Potential theory (31-XX) 8 Approximations and expansions (41-XX) 7 Operations research, mathematical programming (90-XX) 6 Measure and integration (28-XX) 6 Functions of a complex variable (30-XX) 6 Special functions (33-XX) 4 Combinatorics (05-XX) 4 Number theory (11-XX) 4 Integral transforms, operational calculus (44-XX) 4 Geophysics (86-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Difference and functional equations (39-XX) 3 Abstract harmonic analysis (43-XX) 3 General topology (54-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Category theory; homological algebra (18-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Information and communication theory, circuits (94-XX) 1 Field theory and polynomials (12-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Algebraic topology (55-XX) 1 Statistics (62-XX) 1 Computer science (68-XX)