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## Cazenave, Thierry

Compute Distance To:
 Author ID: cazenave.thierry Published as: Cazenave, Thierry; Cazenave, T.; Cazenave, Th.; Cazanave, Thierry
 Documents Indexed: 101 Publications since 1977, including 5 Books
all top 5

#### Co-Authors

 10 single-authored 40 Weissler, Fred B. 27 Dickstein, Flávio 13 Haraux, Alain 6 Martel, Yvan 6 Naumkin, Ivan P. 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
all top 5

#### 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 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 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

 96 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

88 Publications have been cited 3,099 times in 2,261 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
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
Equations d’évolution avec non linearite logarithmique. Zbl 0411.35051
Cazenave, Thierry; Haraux, Alain
1980
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
Asymptotically self-similar global solutions of the nonlinear Schrödinger and heat equations. Zbl 0916.35109
Cazenave, Thierry; Weissler, Fred B.
1998
Stable solutions of the logarithmic Schrödinger equation. Zbl 0529.35068
Cazenave, Thierry
1983
Scattering for the focusing energy-subcritical nonlinear Schrödinger equation. Zbl 1230.35128
Fang, Daoyuan; Xie, Jian; Cazenave, Thierry
2011
Existence of excited states for a nonlinear Dirac field. Zbl 0696.35158
1988
Some remarks on the nonlinear Schrödinger equation in the critical case. Zbl 0694.35170
Cazenave, Thierry; Weissler, Fred B.
1989
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
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
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
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
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
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
Equation de Schrödinger non linéaire. Zbl 0349.35048
Baillon, Jean-Bernard; Cazenave, Thierry; Figueira, Mario
1977
Local existence, global existence, and scattering for the nonlinear Schrödinger equation. Zbl 1365.35149
Cazenave, Thierry; Naumkin, Ivan
2017
Unstable simple modes of the nonlinear string. Zbl 0866.34044
Cazenave, Thierry; Weissler, Fred B.
1996
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
On the stability of stationary states for nonlinear Schrödinger equations with an external magnetic field. Zbl 0681.35011
Cazenave, Thierry; Esteban, Maria J.
1988
Universal solutions of the heat equation on $$\mathbb{R}^N$$. Zbl 1029.35105
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2003
Scattering theory and self-similar solutions for the nonlinear Schrödinger equation. Zbl 0944.35095
Cazenave, Thierry; Weissler, Fred B.
2000
Standing waves of the complex Ginzburg-Landau equation. Zbl 1288.35442
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2014
Computer Go: An AI oriented survey. Zbl 0983.68152
Bouzy, B.; Cazenave, T.
2001
More self-similar solutions of the nonlinear Schrödinger equation. Zbl 0990.35121
Cazenave, Thierry; Weissler, Fred B.
1998
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
A solution of the heat equation with a continuum of decay rates. Zbl 1085.35039
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2005
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
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
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
Detailed asymptotics for a convex Hamiltonian system with two degrees of freedom. Zbl 0771.34038
Cazenave, Thierry; Haraux, Alain; Weissler, Fred B.
1993
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 the Schrödinger equation. Zbl 1215.35148
Fang, Daoyuan; Xie, Jian; Cazenave, Thierry
2011
Some remarks on the asymptotic behaviour of solutions to nonlinear Schrödinger equations. Zbl 0584.35022
Cazenave, Thierry
1985
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
A class of nonlinear, completely integrable abstract wave equations. Zbl 0783.35003
Cazenave, Thierry; Haraux, Alain; Weissler, Fred B.
1993
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
Local well-posedness for the $$H^2$$-critical nonlinear Schrödinger equation. Zbl 1372.35282
Cazenave, Thierry; Fang, Daoyuan; Han, Zheng
2016
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
Equation de Schrödinger avec non-linearite logarithmique. Zbl 0406.35013
Cazenave, Thierry; Haraux, Alain
1979
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
Structural properties of the set of global solutions of the nonlinear heat equation. Zbl 1222.35108
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2010
Spectral properties of stationary solutions of the nonlinear heat equation. Zbl 1211.35151
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2011
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
Solutions blowing up on any given compact set for the energy subcritical wave equation. Zbl 1437.35493
Cazenave, Thierry; Martel, Yvan; Zhao, Lifeng
2020
A note on decay rates for Schrödinger’s equation. Zbl 1180.35439
Xie, Jian; Zhang, Linzi; Cazenave, Thierry
2010
A two-parameter shooting problem for a second-order differential equation. Zbl 0810.34024
Cazenave, Thierry; Escobedo, Miguel
1994
Spatial decay and time-asymptotic profiles for solutions of Schrödinger equations. Zbl 1180.35476
Cazenave, Thierry; Weissler, Fred B.
2006
A remark on the decay of the solutions of some Schrödinger equations. Zbl 0531.35024
Cazenave, Thierry; Dias, João-Paulo; Figueira, Mário
1982
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
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
Carvalho, Alexandre N. (ed.); Ruf, Bernhard (ed.); Moreira dos Santos, Ederson (ed.); Gossez, Jean-Pierre (ed.); Soares, Sergio H. Monari (ed.); Cazenave, Thierry (ed.)
2015
On the nature of free oscillations associated with some semilinear wave equations. Zbl 0596.35006
Cazenave, Th.; Haraux, A.
1985
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 propagation of confined waves along the geodesics. Zbl 0711.35076
Cazenave, Thierry
1990
Solutions with prescribed local blow-up surface for the nonlinear wave equation. Zbl 1437.35494
Cazenave, Thierry; Martel, Yvan; Zhao, Lifeng
2019
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
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
Asymptotic behavior for a Schrödinger equation with nonlinear subcritical dissipation. Zbl 1440.35305
Cazenave, Thierry; Han, Zheng
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
Carvalho, Alexandre N.; Ruf, Bernhard; Moreira dos Santos, Ederson; Gossez, Jean-Pierre; Soares, Sergio H. Monari; Cazenave, Thierry
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
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. (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
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
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 1,956 Authors

 42 Cazenave, Thierry 32 Ozawa, Tohru 28 Merle, Frank 25 Zhang, Jian 24 Carles, Rémi 24 Weissler, Fred B. 23 Martel, Yvan 23 Raphael, Pierre 21 Hayashi, Nakao 20 Feng, Binhua 20 Miao, Changxing 20 Ohta, Masahito 19 Guo, Boling 18 Wang, Baoxiang 16 Haraux, Alain 16 Zheng, Jiqiang 15 Diaz Diaz, Jesus Ildefonso 15 Naumkin, Pavel Ivanovich 14 Dinh, Van Duong 14 Murphy, Jason 14 Rodríguez-Bernal, Aníbal 14 Saanouni, Tarek 14 Tayachi, Slim 13 Dickstein, Flávio 13 Ding, Yanheng 13 Kaikina, Elena Igorevna 13 Kenig, Carlos Eduardo 13 Nakamura, Makoto 13 Souplet, Philippe 13 Squassina, Marco 13 Zhao, Lifeng 12 Cuccagna, Scipio 12 Dias, João-Paulo 12 Fang, Daoyuan 12 Jeanjean, Louis 12 Visciglia, Nicola 11 Antonelli, Paolo 11 Dodson, Benjamin G. 11 Figueira, Mário S. R. 11 Gazzola, Filippo 11 Hoshino, Gaku 11 Ikeda, Masahiro 11 Pastor, Ademir 11 Ponce, Gustavo 11 Tzvetkov, Nikolay 11 Xu, Guixiang 11 Xu, Runzhang 11 Zhang, Xiaoyi 11 Zuazua, Enrique 10 Chen, Jianqing 10 Ferreira, Lucas Catão de Freitas 10 Gan, Zaihui 10 Georgiev, Vladimir S. 10 Ignat, Liviu I. 10 Kikuchi, Hiroaki 10 Krieger, Joachim 10 Méhats, Florian 10 Naumkin, Ivan P. 10 Ogawa, Takayoshi 10 Tao, Terence 10 Vega, Luis 10 Visan, Monica 10 Zhu, Shihui 9 Banica, Valeria 9 Comech, Andrew 9 Fino, Ahmad Z. 9 Ibrahim, Slim 9 Mironchenko, Andrii 9 Nakanishi, Kenji 9 Shatah, Jalal 9 Wang, Liangwei 8 Benci, Vieri 8 Cho, Yonggeun 8 Correia, Simão 8 Cui, Shangbin 8 Hajaiej, Hichem 8 Lenzmann, Enno 8 Ma, Li 8 Masmoudi, Nader 8 Quittner, Pavol 8 Staffilani, Gigliola 8 Wei, Juncheng 8 Zhao, Dun 7 Adami, Riccardo 7 Angulo Pava, Jaime 7 Hernandez Ardila, Alex 7 Bao, Weizhu 7 Bégout, Pascal 7 Bellazzini, Jacopo 7 Chen, Jiecheng 7 Debussche, Arnaud 7 Ginibre, Jean 7 Guo, Cuihua 7 Guo, Zihua 7 Han, Zheng 7 Huang, Juan 7 Hyakuna, Ryosuke 7 Inui, Takahisa 7 Lian, Wei 7 Lions, Pierre-Louis ...and 1,856 more Authors
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#### Cited in 294 Serials

 196 Journal of Differential Equations 166 Journal of Mathematical Analysis and Applications 118 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 80 Communications in Mathematical Physics 74 Journal of Functional Analysis 67 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 58 Journal of Mathematical Physics 51 Discrete and Continuous Dynamical Systems 50 Communications on Pure and Applied Analysis 45 Communications in Partial Differential Equations 41 Transactions of the American Mathematical Society 36 Archive for Rational Mechanics and Analysis 35 Proceedings of the American Mathematical Society 35 Communications in Contemporary Mathematics 33 Calculus of Variations and Partial Differential Equations 32 Journal de Mathématiques Pures et Appliquées. Neuvième Série 28 NoDEA. Nonlinear Differential Equations and Applications 28 Journal of Evolution Equations 26 Applicable Analysis 25 Physica D 22 SIAM Journal on Mathematical Analysis 22 Nonlinear Analysis. Theory, Methods & Applications 21 Applied Mathematics Letters 20 ZAMP. Zeitschrift für angewandte Mathematik und Physik 19 Acta Mathematica Sinica. English Series 19 Nonlinear Analysis. Real World Applications 18 Nonlinearity 18 Duke Mathematical Journal 17 Mathematical Methods in the Applied Sciences 17 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 17 Discrete and Continuous Dynamical Systems. Series B 17 Comptes Rendus. Mathématique. Académie des Sciences, Paris 15 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 14 Advances in Mathematics 14 Mathematische Annalen 14 Journal of Dynamics and Differential Equations 13 Applied Mathematics and Computation 13 Annales de l’Institut Henri Poincaré. Physique Théorique 13 Journal of Hyperbolic Differential Equations 12 Journal of Nonlinear Science 12 Annales Henri Poincaré 12 Advanced Nonlinear Studies 11 Journal d’Analyse Mathématique 11 Annali di Matematica Pura ed Applicata. Serie Quarta 11 Chinese Annals of Mathematics. Series B 10 Computers & Mathematics with Applications 10 Mathematische Zeitschrift 10 Quarterly of Applied Mathematics 9 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 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 Inventiones Mathematicae 8 The Journal of Fourier Analysis and Applications 8 Abstract and Applied Analysis 7 Journal of Computational Physics 7 Reviews in Mathematical Physics 7 SIAM Journal on Control and Optimization 7 Applied Numerical Mathematics 7 Journal of the American Mathematical Society 7 Discrete and Continuous Dynamical Systems. Series S 7 Advances in Nonlinear Analysis 6 Archiv der Mathematik 6 Acta Applicandae Mathematicae 6 Acta Mathematicae Applicatae Sinica. English Series 6 Mathematical and Computer Modelling 6 Bulletin of the American Mathematical Society. New Series 6 Differential Equations 6 Séminaire Laurent Schwartz. EDP et Applications 5 Annales de l’Institut Fourier 5 Osaka Journal of Mathematics 5 Revista Matemática Iberoamericana 5 Revista Matemática Complutense 5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 5 Mediterranean Journal of Mathematics 5 Analysis and Mathematical Physics 5 Mathematical Control and Related Fields 5 Journal of Elliptic and Parabolic Equations 4 Journal of Statistical Physics 4 Letters in Mathematical Physics 4 Mathematical Notes 4 Applied Mathematics and Optimization 4 Journal of Computational and Applied Mathematics 4 Manuscripta Mathematica 4 Memoirs of the American Mathematical Society 4 Numerische Mathematik 4 SIAM Journal on Numerical Analysis 4 Systems & Control Letters 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 European Journal of Control 4 Journal of Mathematical Fluid Mechanics ...and 194 more Serials
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#### Cited in 48 Fields

 2,145 Partial differential equations (35-XX) 244 Quantum theory (81-XX) 159 Dynamical systems and ergodic theory (37-XX) 115 Operator theory (47-XX) 105 Fluid mechanics (76-XX) 82 Numerical analysis (65-XX) 81 Systems theory; control (93-XX) 79 Statistical mechanics, structure of matter (82-XX) 76 Ordinary differential equations (34-XX) 76 Calculus of variations and optimal control; optimization (49-XX) 65 Optics, electromagnetic theory (78-XX) 63 Functional analysis (46-XX) 59 Global analysis, analysis on manifolds (58-XX) 57 Mechanics of deformable solids (74-XX) 51 Probability theory and stochastic processes (60-XX) 48 Harmonic analysis on Euclidean spaces (42-XX) 35 Real functions (26-XX) 25 Biology and other natural sciences (92-XX) 23 Integral equations (45-XX) 17 Mechanics of particles and systems (70-XX) 17 Relativity and gravitational theory (83-XX) 12 Astronomy and astrophysics (85-XX) 11 Differential geometry (53-XX) 9 Classical thermodynamics, heat transfer (80-XX) 8 Potential theory (31-XX) 6 Functions of a complex variable (30-XX) 6 Operations research, mathematical programming (90-XX) 5 Measure and integration (28-XX) 5 Approximations and expansions (41-XX) 4 Number theory (11-XX) 4 Special functions (33-XX) 4 Geophysics (86-XX) 3 Difference and functional equations (39-XX) 3 General topology (54-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Combinatorics (05-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Category theory; homological algebra (18-XX) 2 Abstract harmonic analysis (43-XX) 2 Integral transforms, operational calculus (44-XX) 2 Statistics (62-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)