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Cazenave, Thierry

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Author ID: cazenave.thierry Recent zbMATH articles by "Cazenave, Thierry"
Published as: Cazenave, Thierry; Cazenave, T.; Cazenave, Th.; Cazanave, Thierry
Documents Indexed: 101 Publications since 1977, including 5 Books
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)

Publications by Year

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
613
2003
Orbital stability of standing waves for some nonlinear Schrödinger equations. Zbl 0513.35007
Cazenave, T.; Lions, Pierre-Louis
357
1982
The Cauchy problem for the critical nonlinear Schrödinger equation in \(H^ s\). Zbl 0706.35127
Cazenave, Thierry; Weissler, Fred B.
337
1990
An introduction to semilinear evolution equations. Transl. by Yvan Martel. Revised ed. Zbl 0926.35049
Cazenave, Thierry; Haraux, Alain
258
1998
Instabilité des etats stationnaires dans les équations de Schrödinger et de Klein-Gordon non linéaires. Zbl 0492.35010
Berestycki, Henri; Cazenave, Thierry
129
1981
Blow up for \(u_ t- \Delta u=g(u)\) revisited. Zbl 0855.35063
Brézis, Haim; Cazenave, Thierry; Martel, Yvan; Ramiandrisoa, Arthur
109
1996
A nonlinear heat equation with singular initial data. Zbl 0868.35058
Brézis, Haïm; Cazenave, Thierry
99
1996
Rapidly decaying solutions of the nonlinear Schrödinger equation. Zbl 0763.35085
Cazenave, Thierry; Weissler, Fred B.
72
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
71
1984
Introduction to semilinear evolution problems. (Introduction aux problèmes d’évolution semi-linéaires.) Zbl 0786.35070
Cazenave, Thierry; Haraux, Alain
65
1990
Equations d’évolution avec non linearite logarithmique. Zbl 0411.35051
Cazenave, Thierry; Haraux, Alain
62
1980
The Cauchy problem for the nonlinear Schrödinger equation in \(H^ 1\). Zbl 0696.35153
Cazenave, Thierry; Weissler, Fred B.
62
1988
Existence of localized solutions for a classical nonlinear Dirac field. Zbl 0596.35117
Cazenave, Thierry; Vazquez, Luis
57
1986
Asymptotically self-similar global solutions of the nonlinear Schrödinger and heat equations. Zbl 0916.35109
Cazenave, Thierry; Weissler, Fred B.
55
1998
Stable solutions of the logarithmic Schrödinger equation. Zbl 0529.35068
Cazenave, Thierry
43
1983
Scattering for the focusing energy-subcritical nonlinear Schrödinger equation. Zbl 1230.35128
Fang, Daoyuan; Xie, Jian; Cazenave, Thierry
41
2011
Existence of excited states for a nonlinear Dirac field. Zbl 0696.35158
Balabane, Mikhael; Cazenave, Thierry; Douady, Adrien; Merle, Frank
40
1988
Some remarks on the nonlinear Schrödinger equation in the critical case. Zbl 0694.35170
Cazenave, Thierry; Weissler, Fred B.
39
1989
Existence of standing waves for Dirac fields with singular nonlinearities. Zbl 0721.35065
Balabane, Mikhael; Cazenave, Thierry; Vázquez, Luis
37
1990
An equation whose Fujita critical exponent is not given by scaling. Zbl 1132.35308
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
36
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
29
1998
Finite-time blowup for a complex Ginzburg-Landau equation. Zbl 1284.35411
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
26
2013
A Schrödinger equation with time-oscillating nonlinearity. Zbl 1200.35285
Cazenave, Thierry; Scialom, Márcia
25
2010
Equations de Schrödinger non linéaires en dimension deux. Zbl 0428.35021
Cazenave, Thierry
24
1979
Continuous dependence for NLS in fractional order spaces. Zbl 1209.35124
Cazenave, Thierry; Fang, Daoyuan; Han, Zheng
24
2011
Uniform estimates for solutions of nonlinear Klein-Gordon equations. Zbl 0568.35068
Cazenave, Thierry
21
1985
A note on the nonlinear Schrödinger equation in weak \(L^p\) spaces. Zbl 0991.35084
Cazenave, Thierry; Vega, Luis; Vilela, Mari Cruz
16
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.
15
2009
Stability and instability of stationary states in nonlinear Schrödinger equations. Zbl 0528.35008
Cazenave, T.
15
1983
A semilinear heat equation with concave-convex nonlinearity. Zbl 0949.35071
Cazenave, T.; Dickstein, F.; Escobedo, M.
14
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
13
1984
Oscillatory phenomena associated to semilinear wave equations in one spatial dimension. Zbl 0628.35058
Cazenave, T.; Haraux, A.
12
1987
Some oscillatory properties of the wave equation in several space dimensions. Zbl 0656.35099
Cazenave, Thierry; Haraux, Alain
12
1988
Multi-scale multi-profile global solutions of parabolic equations in \(\mathbb{R}^N \). Zbl 1250.35030
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
12
2012
Universal solutions of a nonlinear heat equation on \(\mathbb R^N\). Zbl 1170.35448
Dickstein, Flávio; Cazenave, Thierry; Weissler, Fred B.
11
2003
Equation de Schrödinger non linéaire. Zbl 0349.35048
Baillon, Jean-Bernard; Cazenave, Thierry; Figueira, Mario
11
1977
Local existence, global existence, and scattering for the nonlinear Schrödinger equation. Zbl 1365.35149
Cazenave, Thierry; Naumkin, Ivan
11
2017
Unstable simple modes of the nonlinear string. Zbl 0866.34044
Cazenave, Thierry; Weissler, Fred B.
10
1996
Chaotic behavior of solutions of the Navier-Stokes system in \(\mathbb R^N \). Zbl 1208.35101
Cazanave, Thierry; Dickstein, Flávio; Weissler, Fred B.
10
2005
Self-similar solutions of a nonlinear heat equation. Zbl 0996.35031
Cazenave, Thierry; Dickstein, Flávio; Escobedo, Miguel; Weissler, Fred B.
10
2001
On the stability of stationary states for nonlinear Schrödinger equations with an external magnetic field. Zbl 0681.35011
Cazenave, Thierry; Esteban, Maria J.
10
1988
Universal solutions of the heat equation on \(\mathbb{R}^N\). Zbl 1029.35105
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
9
2003
Scattering theory and self-similar solutions for the nonlinear Schrödinger equation. Zbl 0944.35095
Cazenave, Thierry; Weissler, Fred B.
9
2000
Standing waves of the complex Ginzburg-Landau equation. Zbl 1288.35442
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
9
2014
Computer Go: An AI oriented survey. Zbl 0983.68152
Bouzy, B.; Cazenave, T.
9
2001
More self-similar solutions of the nonlinear Schrödinger equation. Zbl 0990.35121
Cazenave, Thierry; Weissler, Fred B.
8
1998
Global existence and blowup for sign-changing solutions of the nonlinear heat equation. Zbl 1176.35010
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
8
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.
8
2015
A solution of the heat equation with a continuum of decay rates. Zbl 1085.35039
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
7
2005
The structure of solutions to the pseudo-conformally invariant nonlinear Schrödinger equation. Zbl 0733.35094
Cazenave, Thierry; Weissler, Fred B.
7
1991
Modified scattering for the critical nonlinear Schrödinger equation. Zbl 1428.35490
Cazenave, Thierry; Naumkin, Ivan
7
2018
Finite-time blowup for a Schrödinger equation with nonlinear source term. Zbl 1404.35405
Cazenave, Thierry; Martel, Yvan; Zhao, Lifeng
6
2019
Asymptotically periodic solutions for a class of nonlinear coupled oscillators. Zbl 0837.34056
Cazenave, Thierry; Weissler, Fred B.
6
1995
Nonparabolic asymptotic limits of solutions of the heat equation on \({\mathbb{R}}^N\). Zbl 1143.35008
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
6
2007
Finite-time blowup for a complex Ginzburg-Landau equation with linear driving. Zbl 1305.35133
Cazenave, Thierry; Dias, João-Paulo; Figueira, Mário
5
2014
Detailed asymptotics for a convex Hamiltonian system with two degrees of freedom. Zbl 0771.34038
Cazenave, Thierry; Haraux, Alain; Weissler, Fred B.
5
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.
4
2006
Multiscale asymptotic behavior of the Schrödinger equation. Zbl 1215.35148
Fang, Daoyuan; Xie, Jian; Cazenave, Thierry
4
2011
Some remarks on the asymptotic behaviour of solutions to nonlinear Schrödinger equations. Zbl 0584.35022
Cazenave, Thierry
4
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.
4
1991
A class of nonlinear, completely integrable abstract wave equations. Zbl 0783.35003
Cazenave, Thierry; Haraux, Alain; Weissler, Fred B.
4
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.
4
2009
Local well-posedness for the \(H^2\)-critical nonlinear Schrödinger equation. Zbl 1372.35282
Cazenave, Thierry; Fang, Daoyuan; Han, Zheng
4
2016
On the influence of boundary conditions on flows in porous media. Zbl 0987.76092
Cazenave, Thierry; Dickstein, Flávio
3
2001
Some stability properties for minimal solutions of \(-\Delta u=\lambda g(u)\). Zbl 1173.35489
Cazenave, Thierry; Escobedo, Miguel; Pozio, M. Assunta
3
2002
Equation de Schrödinger avec non-linearite logarithmique. Zbl 0406.35013
Cazenave, Thierry; Haraux, Alain
3
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.
3
2006
Structural properties of the set of global solutions of the nonlinear heat equation. Zbl 1222.35108
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
3
2010
Spectral properties of stationary solutions of the nonlinear heat equation. Zbl 1211.35151
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
3
2011
Nonlinear effects in the wave equation with a cubic restoring force. Zbl 0697.65089
Cazenave, T.; Haraux, A.; Vazquez, L.; Weissler, F. B.
3
1989
Some remarks on the nonlinear Schrödinger equation in the subcritical case. Zbl 0699.35217
Cazenave, Thierry; Weissler, Fred B.
3
1989
Solutions blowing up on any given compact set for the energy subcritical wave equation. Zbl 1437.35493
Cazenave, Thierry; Martel, Yvan; Zhao, Lifeng
3
2020
A note on decay rates for Schrödinger’s equation. Zbl 1180.35439
Xie, Jian; Zhang, Linzi; Cazenave, Thierry
3
2010
A two-parameter shooting problem for a second-order differential equation. Zbl 0810.34024
Cazenave, Thierry; Escobedo, Miguel
2
1994
Spatial decay and time-asymptotic profiles for solutions of Schrödinger equations. Zbl 1180.35476
Cazenave, Thierry; Weissler, Fred B.
2
2006
A remark on the decay of the solutions of some Schrödinger equations. Zbl 0531.35024
Cazenave, Thierry; Dias, João-Paulo; Figueira, Mário
2
1982
Perturbations of self-similar solutions. Zbl 1409.35120
Cazenave, Thierry; Dickstein, Flávio; Naumkin, Ivan; Weissler, Fred B.
2
2019
On the initial value problem for a linear model of well-reservoir coupling. Zbl 0893.35103
Cazenave, Thierry; Dickstein, Flavio
1
1996
Blowup for a time-oscillating nonlinear heat equation. Zbl 1324.35099
Cazenave, Th.; Escobedo, M.; Zuazua, E.
1
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.)
1
2015
On the nature of free oscillations associated with some semilinear wave equations. Zbl 0596.35006
Cazenave, Th.; Haraux, A.
1
1985
Stationary states of nonlinear Dirac equation. Zbl 0611.34003
Cazenave, T.
1
1986
Nonlinear Dirac equations: existence of stationary states. Zbl 0647.35012
Cazenave, T.
1
1987
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
1
1988
On the propagation of confined waves along the geodesics. Zbl 0711.35076
Cazenave, Thierry
1
1990
Solutions with prescribed local blow-up surface for the nonlinear wave equation. Zbl 1437.35494
Cazenave, Thierry; Martel, Yvan; Zhao, Lifeng
1
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.
1
2017
Asymptotic behavior for a Schrödinger equation with nonlinear subcritical dissipation. Zbl 1440.35305
Cazenave, Thierry; Han, Zheng
1
2020
Solutions blowing up on any given compact set for the energy subcritical wave equation. Zbl 1437.35493
Cazenave, Thierry; Martel, Yvan; Zhao, Lifeng
3
2020
Asymptotic behavior for a Schrödinger equation with nonlinear subcritical dissipation. Zbl 1440.35305
Cazenave, Thierry; Han, Zheng
1
2020
Finite-time blowup for a Schrödinger equation with nonlinear source term. Zbl 1404.35405
Cazenave, Thierry; Martel, Yvan; Zhao, Lifeng
6
2019
Perturbations of self-similar solutions. Zbl 1409.35120
Cazenave, Thierry; Dickstein, Flávio; Naumkin, Ivan; Weissler, Fred B.
2
2019
Solutions with prescribed local blow-up surface for the nonlinear wave equation. Zbl 1437.35494
Cazenave, Thierry; Martel, Yvan; Zhao, Lifeng
1
2019
Modified scattering for the critical nonlinear Schrödinger equation. Zbl 1428.35490
Cazenave, Thierry; Naumkin, Ivan
7
2018
Local existence, global existence, and scattering for the nonlinear Schrödinger equation. Zbl 1365.35149
Cazenave, Thierry; Naumkin, Ivan
11
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.
1
2017
Local well-posedness for the \(H^2\)-critical nonlinear Schrödinger equation. Zbl 1372.35282
Cazenave, Thierry; Fang, Daoyuan; Han, Zheng
4
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.
8
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
1
2015
Standing waves of the complex Ginzburg-Landau equation. Zbl 1288.35442
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
9
2014
Finite-time blowup for a complex Ginzburg-Landau equation with linear driving. Zbl 1305.35133
Cazenave, Thierry; Dias, João-Paulo; Figueira, Mário
5
2014
Finite-time blowup for a complex Ginzburg-Landau equation. Zbl 1284.35411
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
26
2013
Blowup for a time-oscillating nonlinear heat equation. Zbl 1324.35099
Cazenave, Th.; Escobedo, M.; Zuazua, E.
1
2013
Multi-scale multi-profile global solutions of parabolic equations in \(\mathbb{R}^N \). Zbl 1250.35030
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
12
2012
Scattering for the focusing energy-subcritical nonlinear Schrödinger equation. Zbl 1230.35128
Fang, Daoyuan; Xie, Jian; Cazenave, Thierry
41
2011
Continuous dependence for NLS in fractional order spaces. Zbl 1209.35124
Cazenave, Thierry; Fang, Daoyuan; Han, Zheng
24
2011
Multiscale asymptotic behavior of the Schrödinger equation. Zbl 1215.35148
Fang, Daoyuan; Xie, Jian; Cazenave, Thierry
4
2011
Spectral properties of stationary solutions of the nonlinear heat equation. Zbl 1211.35151
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
3
2011
A Schrödinger equation with time-oscillating nonlinearity. Zbl 1200.35285
Cazenave, Thierry; Scialom, Márcia
25
2010
Structural properties of the set of global solutions of the nonlinear heat equation. Zbl 1222.35108
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
3
2010
A note on decay rates for Schrödinger’s equation. Zbl 1180.35439
Xie, Jian; Zhang, Linzi; Cazenave, Thierry
3
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.
15
2009
Global existence and blowup for sign-changing solutions of the nonlinear heat equation. Zbl 1176.35010
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
8
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.
4
2009
An equation whose Fujita critical exponent is not given by scaling. Zbl 1132.35308
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
36
2008
Nonparabolic asymptotic limits of solutions of the heat equation on \({\mathbb{R}}^N\). Zbl 1143.35008
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
6
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.
4
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.
3
2006
Spatial decay and time-asymptotic profiles for solutions of Schrödinger equations. Zbl 1180.35476
Cazenave, Thierry; Weissler, Fred B.
2
2006
Chaotic behavior of solutions of the Navier-Stokes system in \(\mathbb R^N \). Zbl 1208.35101
Cazanave, Thierry; Dickstein, Flávio; Weissler, Fred B.
10
2005
A solution of the heat equation with a continuum of decay rates. Zbl 1085.35039
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
7
2005
Semilinear Schrödinger equations. Zbl 1055.35003
Cazenave, Thierry
613
2003
Universal solutions of a nonlinear heat equation on \(\mathbb R^N\). Zbl 1170.35448
Dickstein, Flávio; Cazenave, Thierry; Weissler, Fred B.
11
2003
Universal solutions of the heat equation on \(\mathbb{R}^N\). Zbl 1029.35105
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
9
2003
Some stability properties for minimal solutions of \(-\Delta u=\lambda g(u)\). Zbl 1173.35489
Cazenave, Thierry; Escobedo, Miguel; Pozio, M. Assunta
3
2002
A note on the nonlinear Schrödinger equation in weak \(L^p\) spaces. Zbl 0991.35084
Cazenave, Thierry; Vega, Luis; Vilela, Mari Cruz
16
2001
Self-similar solutions of a nonlinear heat equation. Zbl 0996.35031
Cazenave, Thierry; Dickstein, Flávio; Escobedo, Miguel; Weissler, Fred B.
10
2001
Computer Go: An AI oriented survey. Zbl 0983.68152
Bouzy, B.; Cazenave, T.
9
2001
On the influence of boundary conditions on flows in porous media. Zbl 0987.76092
Cazenave, Thierry; Dickstein, Flávio
3
2001
Scattering theory and self-similar solutions for the nonlinear Schrödinger equation. Zbl 0944.35095
Cazenave, Thierry; Weissler, Fred B.
9
2000
A semilinear heat equation with concave-convex nonlinearity. Zbl 0949.35071
Cazenave, T.; Dickstein, F.; Escobedo, M.
14
1999
An introduction to semilinear evolution equations. Transl. by Yvan Martel. Revised ed. Zbl 0926.35049
Cazenave, Thierry; Haraux, Alain
258
1998
Asymptotically self-similar global solutions of the nonlinear Schrödinger and heat equations. Zbl 0916.35109
Cazenave, Thierry; Weissler, Fred B.
55
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
29
1998
More self-similar solutions of the nonlinear Schrödinger equation. Zbl 0990.35121
Cazenave, Thierry; Weissler, Fred B.
8
1998
Blow up for \(u_ t- \Delta u=g(u)\) revisited. Zbl 0855.35063
Brézis, Haim; Cazenave, Thierry; Martel, Yvan; Ramiandrisoa, Arthur
109
1996
A nonlinear heat equation with singular initial data. Zbl 0868.35058
Brézis, Haïm; Cazenave, Thierry
99
1996
Unstable simple modes of the nonlinear string. Zbl 0866.34044
Cazenave, Thierry; Weissler, Fred B.
10
1996
On the initial value problem for a linear model of well-reservoir coupling. Zbl 0893.35103
Cazenave, Thierry; Dickstein, Flavio
1
1996
Asymptotically periodic solutions for a class of nonlinear coupled oscillators. Zbl 0837.34056
Cazenave, Thierry; Weissler, Fred B.
6
1995
A two-parameter shooting problem for a second-order differential equation. Zbl 0810.34024
Cazenave, Thierry; Escobedo, Miguel
2
1994
Detailed asymptotics for a convex Hamiltonian system with two degrees of freedom. Zbl 0771.34038
Cazenave, Thierry; Haraux, Alain; Weissler, Fred B.
5
1993
A class of nonlinear, completely integrable abstract wave equations. Zbl 0783.35003
Cazenave, Thierry; Haraux, Alain; Weissler, Fred B.
4
1993
Rapidly decaying solutions of the nonlinear Schrödinger equation. Zbl 0763.35085
Cazenave, Thierry; Weissler, Fred B.
72
1992
The structure of solutions to the pseudo-conformally invariant nonlinear Schrödinger equation. Zbl 0733.35094
Cazenave, Thierry; Weissler, Fred B.
7
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.
4
1991
The Cauchy problem for the critical nonlinear Schrödinger equation in \(H^ s\). Zbl 0706.35127
Cazenave, Thierry; Weissler, Fred B.
337
1990
Introduction to semilinear evolution problems. (Introduction aux problèmes d’évolution semi-linéaires.) Zbl 0786.35070
Cazenave, Thierry; Haraux, Alain
65
1990
Existence of standing waves for Dirac fields with singular nonlinearities. Zbl 0721.35065
Balabane, Mikhael; Cazenave, Thierry; Vázquez, Luis
37
1990
On the propagation of confined waves along the geodesics. Zbl 0711.35076
Cazenave, Thierry
1
1990
Some remarks on the nonlinear Schrödinger equation in the critical case. Zbl 0694.35170
Cazenave, Thierry; Weissler, Fred B.
39
1989
Nonlinear effects in the wave equation with a cubic restoring force. Zbl 0697.65089
Cazenave, T.; Haraux, A.; Vazquez, L.; Weissler, F. B.
3
1989
Some remarks on the nonlinear Schrödinger equation in the subcritical case. Zbl 0699.35217
Cazenave, Thierry; Weissler, Fred B.
3
1989
The Cauchy problem for the nonlinear Schrödinger equation in \(H^ 1\). Zbl 0696.35153
Cazenave, Thierry; Weissler, Fred B.
62
1988
Existence of excited states for a nonlinear Dirac field. Zbl 0696.35158
Balabane, Mikhael; Cazenave, Thierry; Douady, Adrien; Merle, Frank
40
1988
Some oscillatory properties of the wave equation in several space dimensions. Zbl 0656.35099
Cazenave, Thierry; Haraux, Alain
12
1988
On the stability of stationary states for nonlinear Schrödinger equations with an external magnetic field. Zbl 0681.35011
Cazenave, Thierry; Esteban, Maria J.
10
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
1
1988
Oscillatory phenomena associated to semilinear wave equations in one spatial dimension. Zbl 0628.35058
Cazenave, T.; Haraux, A.
12
1987
Nonlinear Dirac equations: existence of stationary states. Zbl 0647.35012
Cazenave, T.
1
1987
Existence of localized solutions for a classical nonlinear Dirac field. Zbl 0596.35117
Cazenave, Thierry; Vazquez, Luis
57
1986
Stationary states of nonlinear Dirac equation. Zbl 0611.34003
Cazenave, T.
1
1986
Uniform estimates for solutions of nonlinear Klein-Gordon equations. Zbl 0568.35068
Cazenave, Thierry
21
1985
Some remarks on the asymptotic behaviour of solutions to nonlinear Schrödinger equations. Zbl 0584.35022
Cazenave, Thierry
4
1985
On the nature of free oscillations associated with some semilinear wave equations. Zbl 0596.35006
Cazenave, Th.; Haraux, A.
1
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
71
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
13
1984
Stable solutions of the logarithmic Schrödinger equation. Zbl 0529.35068
Cazenave, Thierry
43
1983
Stability and instability of stationary states in nonlinear Schrödinger equations. Zbl 0528.35008
Cazenave, T.
15
1983
Orbital stability of standing waves for some nonlinear Schrödinger equations. Zbl 0513.35007
Cazenave, T.; Lions, Pierre-Louis
357
1982
A remark on the decay of the solutions of some Schrödinger equations. Zbl 0531.35024
Cazenave, Thierry; Dias, João-Paulo; Figueira, Mário
2
1982
Instabilité des etats stationnaires dans les équations de Schrödinger et de Klein-Gordon non linéaires. Zbl 0492.35010
Berestycki, Henri; Cazenave, Thierry
129
1981
Equations d’évolution avec non linearite logarithmique. Zbl 0411.35051
Cazenave, Thierry; Haraux, Alain
62
1980
Equations de Schrödinger non linéaires en dimension deux. Zbl 0428.35021
Cazenave, Thierry
24
1979
Equation de Schrödinger avec non-linearite logarithmique. Zbl 0406.35013
Cazenave, Thierry; Haraux, Alain
3
1979
Equation de Schrödinger non linéaire. Zbl 0349.35048
Baillon, Jean-Bernard; Cazenave, Thierry; Figueira, Mario
11
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
all top 5

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
all top 5

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)

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