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Author ID: cazenave.thierry Recent zbMATH articles by "Cazenave, Thierry"
Published as: Cazenave, Thierry; Cazenave, T.; Cazenave, Th.; Cazanave, Thierry
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 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)

Publications by Year

Citations contained in zbMATH Open

94 Publications have been cited 4,597 times in 3,293 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
537
1982
The Cauchy problem for the critical nonlinear Schrödinger equation in \(H^ s\). Zbl 0706.35127
Cazenave, Thierry; Weissler, Fred B.
392
1990
An introduction to semilinear evolution equations. Transl. by Yvan Martel. Revised ed. Zbl 0926.35049
Cazenave, Thierry; Haraux, Alain
383
1998
Instabilité des etats stationnaires dans les équations de Schrödinger et de Klein-Gordon non linéaires. Zbl 0492.35010
Berestycki, Henri; Cazenave, Thierry
165
1981
A nonlinear heat equation with singular initial data. Zbl 0868.35058
Brézis, Haïm; Cazenave, Thierry
135
1996
Blow up for \(u_ t- \Delta u=g(u)\) revisited. Zbl 0855.35063
Brézis, Haim; Cazenave, Thierry; Martel, Yvan; Ramiandrisoa, Arthur
131
1996
Equations d’évolution avec non linearite logarithmique. Zbl 0411.35051
Cazenave, Thierry; Haraux, Alain
116
1980
Rapidly decaying solutions of the nonlinear Schrödinger equation. Zbl 0763.35085
Cazenave, Thierry; Weissler, Fred B.
89
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
80
1984
Stable solutions of the logarithmic Schrödinger equation. Zbl 0529.35068
Cazenave, Thierry
79
1983
Introduction to semilinear evolution problems. (Introduction aux problèmes d’évolution semi-linéaires.) Zbl 0786.35070
Cazenave, Thierry; Haraux, Alain
78
1990
The Cauchy problem for the nonlinear Schrödinger equation in \(H^ 1\). Zbl 0696.35153
Cazenave, Thierry; Weissler, Fred B.
74
1988
Existence of localized solutions for a classical nonlinear Dirac field. Zbl 0596.35117
Cazenave, Thierry; Vazquez, Luis
65
1986
Scattering for the focusing energy-subcritical nonlinear Schrödinger equation. Zbl 1230.35128
Fang, Daoyuan; Xie, Jian; Cazenave, Thierry
61
2011
Asymptotically self-similar global solutions of the nonlinear Schrödinger and heat equations. Zbl 0916.35109
Cazenave, Thierry; Weissler, Fred B.
59
1998
An equation whose Fujita critical exponent is not given by scaling. Zbl 1132.35308
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
56
2008
Some remarks on the nonlinear Schrödinger equation in the critical case. Zbl 0694.35170
Cazenave, Thierry; Weissler, Fred B.
50
1989
Existence of excited states for a nonlinear Dirac field. Zbl 0696.35158
Balabane, Mikhael; Cazenave, Thierry; Douady, Adrien; Merle, Frank
46
1988
Existence of standing waves for Dirac fields with singular nonlinearities. Zbl 0721.35065
Balabane, Mikhael; Cazenave, Thierry; Vázquez, Luis
45
1990
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
34
1998
Uniform estimates for solutions of nonlinear Klein-Gordon equations. Zbl 0568.35068
Cazenave, Thierry
33
1985
A Schrödinger equation with time-oscillating nonlinearity. Zbl 1200.35285
Cazenave, Thierry; Scialom, Márcia
31
2010
Continuous dependence for NLS in fractional order spaces. Zbl 1209.35124
Cazenave, Thierry; Fang, Daoyuan; Han, Zheng
31
2011
Equations de Schrödinger non linéaires en dimension deux. Zbl 0428.35021
Cazenave, Thierry
30
1979
Finite-time blowup for a complex Ginzburg-Landau equation. Zbl 1284.35411
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
30
2013
Modified scattering for the critical nonlinear Schrödinger equation. Zbl 1428.35490
Cazenave, Thierry; Naumkin, Ivan
28
2018
Local existence, global existence, and scattering for the nonlinear Schrödinger equation. Zbl 1365.35149
Cazenave, Thierry; Naumkin, Ivan
27
2017
A note on the nonlinear Schrödinger equation in weak \(L^p\) spaces. Zbl 0991.35084
Cazenave, Thierry; Vega, Luis; Vilela, Mari Cruz
22
2001
Stability and instability of stationary states in nonlinear Schrödinger equations. Zbl 0528.35008
Cazenave, T.
18
1983
Unstable simple modes of the nonlinear string. Zbl 0866.34044
Cazenave, Thierry; Weissler, Fred B.
17
1996
On the stability of stationary states for nonlinear Schrödinger equations with an external magnetic field. Zbl 0681.35011
Cazenave, Thierry; Esteban, Maria J.
17
1988
Sign-changing stationary solutions and blowup for the nonlinear heat equation in a ball. Zbl 1168.35022
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
16
2009
A semilinear heat equation with concave-convex nonlinearity. Zbl 0949.35071
Cazenave, T.; Dickstein, F.; Escobedo, M.
15
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
14
1984
Equation de Schrödinger non linéaire. Zbl 0349.35048
Baillon, Jean-Bernard; Cazenave, Thierry; Figueira, Mario
13
1977
Self-similar solutions of a nonlinear heat equation. Zbl 0996.35031
Cazenave, Thierry; Dickstein, Flávio; Escobedo, Miguel; Weissler, Fred B.
13
2001
Universal solutions of a nonlinear heat equation on \(\mathbb R^N\). Zbl 1170.35448
Dickstein, Flávio; Cazenave, Thierry; Weissler, Fred B.
13
2003
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.
12
2015
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 the heat equation on \(\mathbb{R}^N\). Zbl 1029.35105
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
12
2003
Standing waves of the complex Ginzburg-Landau equation. Zbl 1288.35442
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
11
2014
Finite-time blowup for a Schrödinger equation with nonlinear source term. Zbl 1404.35405
Cazenave, Thierry; Martel, Yvan; Zhao, Lifeng
11
2019
Global existence and blowup for sign-changing solutions of the nonlinear heat equation. Zbl 1176.35010
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
11
2009
Asymptotic behavior for a dissipative nonlinear Schrödinger equation. Zbl 1458.35383
Cazenave, Thierry; Han, Zheng; Naumkin, Ivan
11
2021
The structure of solutions to the pseudo-conformally invariant nonlinear Schrödinger equation. Zbl 0733.35094
Cazenave, Thierry; Weissler, Fred B.
10
1991
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
Asymptotic behavior for a Schrödinger equation with nonlinear subcritical dissipation. Zbl 1440.35305
Cazenave, Thierry; Han, Zheng
10
2020
Scattering theory and self-similar solutions for the nonlinear Schrödinger equation. Zbl 0944.35095
Cazenave, Thierry; Weissler, Fred B.
9
2000
Computer Go: An AI oriented survey. Zbl 0983.68152
Bouzy, B.; Cazenave, T.
9
2001
Asymptotically periodic solutions for a class of nonlinear coupled oscillators. Zbl 0837.34056
Cazenave, Thierry; Weissler, Fred B.
8
1995
Nonparabolic asymptotic limits of solutions of the heat equation on \({\mathbb{R}}^N\). Zbl 1143.35008
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
8
2007
Local well-posedness for the \(H^2\)-critical nonlinear Schrödinger equation. Zbl 1372.35282
Cazenave, Thierry; Fang, Daoyuan; Han, Zheng
7
2016
Finite-time blowup for a complex Ginzburg-Landau equation with linear driving. Zbl 1305.35133
Cazenave, Thierry; Dias, João-Paulo; Figueira, Mário
7
2014
Some remarks on the nonlinear Schrödinger equation in the subcritical case. Zbl 0699.35217
Cazenave, Thierry; Weissler, Fred B.
7
1989
More self-similar solutions of the nonlinear Schrödinger equation. Zbl 0990.35121
Cazenave, Thierry; Weissler, Fred B.
7
1998
A solution of the heat equation with a continuum of decay rates. Zbl 1085.35039
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
7
2005
A class of nonlinear, completely integrable abstract wave equations. Zbl 0783.35003
Cazenave, Thierry; Haraux, Alain; Weissler, Fred B.
7
1993
Detailed asymptotics for a convex Hamiltonian system with two degrees of freedom. Zbl 0771.34038
Cazenave, Thierry; Haraux, Alain; Weissler, Fred B.
7
1993
Equation de Schrödinger avec non-linearite logarithmique. Zbl 0406.35013
Cazenave, Thierry; Haraux, Alain
6
1979
Perturbations of self-similar solutions. Zbl 1409.35120
Cazenave, Thierry; Dickstein, Flávio; Naumkin, Ivan; Weissler, Fred B.
6
2019
Solutions blowing up on any given compact set for the energy subcritical wave equation. Zbl 1437.35493
Cazenave, Thierry; Martel, Yvan; Zhao, Lifeng
6
2020
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.
5
2017
Multiscale asymptotic behavior of the Schrödinger equation. Zbl 1215.35148
Fang, Daoyuan; Xie, Jian; Cazenave, Thierry
5
2011
Some stability properties for minimal solutions of \(-\Delta u=\lambda g(u)\). Zbl 1173.35489
Cazenave, Thierry; Escobedo, Miguel; Pozio, M. Assunta
5
2002
Sign-changing self-similar solutions of the nonlinear heat equation with positive initial value. Zbl 1458.35103
Cazenave, Thierry; Dickstein, Flávio; Naumkin, Ivan; Weissler, Fred B.
5
2020
Some remarks on the asymptotic behaviour of solutions to nonlinear Schrödinger equations. Zbl 0584.35022
Cazenave, Thierry
4
1985
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
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
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
Blowup on an arbitrary compact set for a Schrödinger equation with nonlinear source term. Zbl 1466.35323
Cazenave, Thierry; Han, Zheng; Martel, Yvan
4
2021
Structural properties of the set of global solutions of the nonlinear heat equation. Zbl 1222.35108
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
4
2010
Spectral properties of stationary solutions of the nonlinear heat equation. Zbl 1211.35151
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
4
2011
On the influence of boundary conditions on flows in porous media. Zbl 0987.76092
Cazenave, Thierry; Dickstein, Flávio
3
2001
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
A two-parameter shooting problem for a second-order differential equation. Zbl 0810.34024
Cazenave, Thierry; Escobedo, Miguel
3
1994
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
A note on decay rates for Schrödinger’s equation. Zbl 1180.35439
Xie, Jian; Zhang, Linzi; Cazenave, Thierry
3
2010
Sign-changing solutions of the nonlinear heat equation with persistent singularities. Zbl 1459.35249
Cazenave, Thierry; Dickstein, Flávio; Naumkin, Ivan; Weissler, Fred B.
3
2020
On the nature of free oscillations associated with some semilinear wave equations. Zbl 0596.35006
Cazenave, Th.; Haraux, A.
2
1985
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
Solutions with prescribed local blow-up surface for the nonlinear wave equation. Zbl 1437.35494
Cazenave, Thierry; Martel, Yvan; Zhao, Lifeng
2
2019
Contributions to nonlinear analysis. A tribute to D. G. de Figueiredo on the occasion of his 70th birthday. Zbl 1083.35003
1
2006
Stationary states of nonlinear Dirac equation. Zbl 0611.34003
Cazenave, T.
1
1986
On the propagation of confined waves along the geodesics. Zbl 0711.35076
Cazenave, Thierry
1
1990
Contributions to nonlinear elliptic equations and systems. A tribute to Djairo Guedes de Figueiredo on the occasion of his 80th birthday. Zbl 1336.35006
1
2015
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 initial value problem for a linear model of well-reservoir coupling. Zbl 0893.35103
Cazenave, Thierry; Dickstein, Flavio
1
1996
Local smooth solutions of the nonlinear Klein-Gordon equation. Zbl 1479.35570
Cazenave, Thierry; Naumkin, Ivan
1
2021
Blowup for a time-oscillating nonlinear heat equation. Zbl 1324.35099
Cazenave, Th.; Escobedo, M.; Zuazua, E.
1
2013
Asymptotic behavior for a dissipative nonlinear Schrödinger equation. Zbl 1458.35383
Cazenave, Thierry; Han, Zheng; Naumkin, Ivan
11
2021
Blowup on an arbitrary compact set for a Schrödinger equation with nonlinear source term. Zbl 1466.35323
Cazenave, Thierry; Han, Zheng; Martel, Yvan
4
2021
Local smooth solutions of the nonlinear Klein-Gordon equation. Zbl 1479.35570
Cazenave, Thierry; Naumkin, Ivan
1
2021
Asymptotic behavior for a Schrödinger equation with nonlinear subcritical dissipation. Zbl 1440.35305
Cazenave, Thierry; Han, Zheng
10
2020
Solutions blowing up on any given compact set for the energy subcritical wave equation. Zbl 1437.35493
Cazenave, Thierry; Martel, Yvan; Zhao, Lifeng
6
2020
Sign-changing self-similar solutions of the nonlinear heat equation with positive initial value. Zbl 1458.35103
Cazenave, Thierry; Dickstein, Flávio; Naumkin, Ivan; Weissler, Fred B.
5
2020
Sign-changing solutions of the nonlinear heat equation with persistent singularities. Zbl 1459.35249
Cazenave, Thierry; Dickstein, Flávio; Naumkin, Ivan; Weissler, Fred B.
3
2020
Finite-time blowup for a Schrödinger equation with nonlinear source term. Zbl 1404.35405
Cazenave, Thierry; Martel, Yvan; Zhao, Lifeng
11
2019
Perturbations of self-similar solutions. Zbl 1409.35120
Cazenave, Thierry; Dickstein, Flávio; Naumkin, Ivan; Weissler, Fred B.
6
2019
Solutions with prescribed local blow-up surface for the nonlinear wave equation. Zbl 1437.35494
Cazenave, Thierry; Martel, Yvan; Zhao, Lifeng
2
2019
Modified scattering for the critical nonlinear Schrödinger equation. Zbl 1428.35490
Cazenave, Thierry; Naumkin, Ivan
28
2018
Local existence, global existence, and scattering for the nonlinear Schrödinger equation. Zbl 1365.35149
Cazenave, Thierry; Naumkin, Ivan
27
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.
5
2017
Local well-posedness for the \(H^2\)-critical nonlinear Schrödinger equation. Zbl 1372.35282
Cazenave, Thierry; Fang, Daoyuan; Han, Zheng
7
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.
12
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
1
2015
Standing waves of the complex Ginzburg-Landau equation. Zbl 1288.35442
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
11
2014
Finite-time blowup for a complex Ginzburg-Landau equation with linear driving. Zbl 1305.35133
Cazenave, Thierry; Dias, João-Paulo; Figueira, Mário
7
2014
Finite-time blowup for a complex Ginzburg-Landau equation. Zbl 1284.35411
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
30
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
61
2011
Continuous dependence for NLS in fractional order spaces. Zbl 1209.35124
Cazenave, Thierry; Fang, Daoyuan; Han, Zheng
31
2011
Multiscale asymptotic behavior of the Schrödinger equation. Zbl 1215.35148
Fang, Daoyuan; Xie, Jian; Cazenave, Thierry
5
2011
Spectral properties of stationary solutions of the nonlinear heat equation. Zbl 1211.35151
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
4
2011
A Schrödinger equation with time-oscillating nonlinearity. Zbl 1200.35285
Cazenave, Thierry; Scialom, Márcia
31
2010
Structural properties of the set of global solutions of the nonlinear heat equation. Zbl 1222.35108
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
4
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.
16
2009
Global existence and blowup for sign-changing solutions of the nonlinear heat equation. Zbl 1176.35010
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
11
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.
56
2008
Nonparabolic asymptotic limits of solutions of the heat equation on \({\mathbb{R}}^N\). Zbl 1143.35008
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
8
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
Contributions to nonlinear analysis. A tribute to D. G. de Figueiredo on the occasion of his 70th birthday. Zbl 1083.35003
1
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
2003
Universal solutions of a nonlinear heat equation on \(\mathbb R^N\). Zbl 1170.35448
Dickstein, Flávio; Cazenave, Thierry; Weissler, Fred B.
13
2003
Universal solutions of the heat equation on \(\mathbb{R}^N\). Zbl 1029.35105
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
12
2003
Some stability properties for minimal solutions of \(-\Delta u=\lambda g(u)\). Zbl 1173.35489
Cazenave, Thierry; Escobedo, Miguel; Pozio, M. Assunta
5
2002
A note on the nonlinear Schrödinger equation in weak \(L^p\) spaces. Zbl 0991.35084
Cazenave, Thierry; Vega, Luis; Vilela, Mari Cruz
22
2001
Self-similar solutions of a nonlinear heat equation. Zbl 0996.35031
Cazenave, Thierry; Dickstein, Flávio; Escobedo, Miguel; Weissler, Fred B.
13
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.
15
1999
An introduction to semilinear evolution equations. Transl. by Yvan Martel. Revised ed. Zbl 0926.35049
Cazenave, Thierry; Haraux, Alain
383
1998
Asymptotically self-similar global solutions of the nonlinear Schrödinger and heat equations. Zbl 0916.35109
Cazenave, Thierry; Weissler, Fred B.
59
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
34
1998
More self-similar solutions of the nonlinear Schrödinger equation. Zbl 0990.35121
Cazenave, Thierry; Weissler, Fred B.
7
1998
A nonlinear heat equation with singular initial data. Zbl 0868.35058
Brézis, Haïm; Cazenave, Thierry
135
1996
Blow up for \(u_ t- \Delta u=g(u)\) revisited. Zbl 0855.35063
Brézis, Haim; Cazenave, Thierry; Martel, Yvan; Ramiandrisoa, Arthur
131
1996
Unstable simple modes of the nonlinear string. Zbl 0866.34044
Cazenave, Thierry; Weissler, Fred B.
17
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.
8
1995
A two-parameter shooting problem for a second-order differential equation. Zbl 0810.34024
Cazenave, Thierry; Escobedo, Miguel
3
1994
A class of nonlinear, completely integrable abstract wave equations. Zbl 0783.35003
Cazenave, Thierry; Haraux, Alain; Weissler, Fred B.
7
1993
Detailed asymptotics for a convex Hamiltonian system with two degrees of freedom. Zbl 0771.34038
Cazenave, Thierry; Haraux, Alain; Weissler, Fred B.
7
1993
Rapidly decaying solutions of the nonlinear Schrödinger equation. Zbl 0763.35085
Cazenave, Thierry; Weissler, Fred B.
89
1992
The structure of solutions to the pseudo-conformally invariant nonlinear Schrödinger equation. Zbl 0733.35094
Cazenave, Thierry; Weissler, Fred B.
10
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.
392
1990
Introduction to semilinear evolution problems. (Introduction aux problèmes d’évolution semi-linéaires.) Zbl 0786.35070
Cazenave, Thierry; Haraux, Alain
78
1990
Existence of standing waves for Dirac fields with singular nonlinearities. Zbl 0721.35065
Balabane, Mikhael; Cazenave, Thierry; Vázquez, Luis
45
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.
50
1989
Some remarks on the nonlinear Schrödinger equation in the subcritical case. Zbl 0699.35217
Cazenave, Thierry; Weissler, Fred B.
7
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
The Cauchy problem for the nonlinear Schrödinger equation in \(H^ 1\). Zbl 0696.35153
Cazenave, Thierry; Weissler, Fred B.
74
1988
Existence of excited states for a nonlinear Dirac field. Zbl 0696.35158
Balabane, Mikhael; Cazenave, Thierry; Douady, Adrien; Merle, Frank
46
1988
On the stability of stationary states for nonlinear Schrödinger equations with an external magnetic field. Zbl 0681.35011
Cazenave, Thierry; Esteban, Maria J.
17
1988
Some oscillatory properties of the wave equation in several space dimensions. Zbl 0656.35099
Cazenave, Thierry; Haraux, Alain
12
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
65
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
33
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.
2
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
80
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
14
1984
Stable solutions of the logarithmic Schrödinger equation. Zbl 0529.35068
Cazenave, Thierry
79
1983
Stability and instability of stationary states in nonlinear Schrödinger equations. Zbl 0528.35008
Cazenave, T.
18
1983
Orbital stability of standing waves for some nonlinear Schrödinger equations. Zbl 0513.35007
Cazenave, T.; Lions, Pierre-Louis
537
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
165
1981
Equations d’évolution avec non linearite logarithmique. Zbl 0411.35051
Cazenave, Thierry; Haraux, Alain
116
1980
Equations de Schrödinger non linéaires en dimension deux. Zbl 0428.35021
Cazenave, Thierry
30
1979
Equation de Schrödinger avec non-linearite logarithmique. Zbl 0406.35013
Cazenave, Thierry; Haraux, Alain
6
1979
Equation de Schrödinger non linéaire. Zbl 0349.35048
Baillon, Jean-Bernard; Cazenave, Thierry; Figueira, Mario
13
1977
all top 5

Cited by 2,764 Authors

44 Cazenave, Thierry
41 Zhang, Jian
38 Carles, Rémi
38 Ozawa, Tohru
33 Dinh, Van Duong
33 Feng, Binhua
33 Hayashi, Nakao
30 Merle, Frank
29 Naumkin, Pavel Ivanovich
27 Martel, Yvan
26 Weissler, Fred B.
24 Miao, Changxing
24 Raphael, Pierre
23 Murphy, Jason
22 Díaz Díaz, Jesús Ildefonso
22 Guo, Boling
22 Saanouni, Tarek
20 Jeanjean, Louis
20 Kaikina, Elena Igorevna
20 Ohta, Masahito
20 Wang, Baoxiang
20 Zhu, Shihui
19 Pastor, Ademir
19 Zheng, Jiqiang
18 Antonelli, Paolo
18 Guo, Yujin
18 Hoshino, Gaku
17 Hajaiej, Hichem
16 Haraux, Alain
16 Ikeda, Masahiro
16 Kenig, Carlos Eduardo
16 Tayachi, Slim
16 Wang, Zhi-Qiang
15 Bao, Weizhu
15 Cuccagna, Scipio
15 Dias, João-Paulo
15 Ding, Yanheng
15 Dodson, Benjamin G.
15 Georgiev, Vladimir S.
15 Nakamura, Makoto
15 Naumkin, Ivan P.
15 Rodríguez-Bernal, Aníbal
15 Visciglia, Nicola
15 Xu, Guixiang
14 Ogawa, Takayoshi
14 Souplet, Philippe
14 Tzvetkov, Nikolay
14 Zhao, Dun
14 Zhao, Lifeng
13 Dickstein, Flávio
13 Fang, Daoyuan
13 Fino, Ahmad Z.
13 Nakanishi, Kenji
13 Squassina, Marco
13 Zuazua, Enrique
12 Adami, Riccardo
12 Hernandez Ardila, Alex
12 Correia, Simão
12 Figueira, Mário S. R.
12 Gazzola, Filippo
12 Karachalios, Nikos I.
12 Ma, Li
12 Noja, Diego
12 Oh, Tadahiro
12 Roudenko, Svetlana
12 Sparber, Christof
12 Vega, Luis
12 Visan, Monica
12 Wang, Liangwei
12 Xu, Runzhang
11 Angulo Pava, Jaime
11 Banica, Valeria
11 Cho, Yonggeun
11 Dovetta, Simone
11 Gan, Zaihui
11 Ignat, Liviu I.
11 Inui, Takahisa
11 Kikuchi, Hiroaki
11 Kirane, Mokhtar
11 Méhats, Florian
11 Ponce, Gustavo
11 Tentarelli, Lorenzo
11 Zhang, Xiaoyi
10 Alouini, Brahim
10 Duyckaerts, Thomas
10 Ferreira, Lucas Catão de Freitas
10 Hong, Younghun
10 Ibrahim, Slim
10 Krieger, Joachim
10 Luo, Xiao
10 Majdoub, Mohamed
10 Mironchenko, Andrii
10 Soffer, Avraham
10 Tang, Xianhua
10 Tao, Terence
10 Valovik, Dmitry V.
10 Wei, Juncheng
10 Zhao, Zehua
9 Bégout, Pascal
9 Benci, Vieri
...and 2,664 more Authors
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Cited in 370 Serials

237 Journal of Differential Equations
205 Journal of Mathematical Analysis and Applications
168 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
91 Communications in Mathematical Physics
87 Journal of Mathematical Physics
85 Journal of Functional Analysis
73 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
71 Discrete and Continuous Dynamical Systems
64 Communications on Pure and Applied Analysis
55 Communications in Partial Differential Equations
55 Calculus of Variations and Partial Differential Equations
53 Journal of Evolution Equations
51 Nonlinearity
48 SIAM Journal on Mathematical Analysis
45 Archive for Rational Mechanics and Analysis
45 NoDEA. Nonlinear Differential Equations and Applications
44 Transactions of the American Mathematical Society
43 Proceedings of the American Mathematical Society
43 Physica D
43 Communications in Contemporary Mathematics
41 Applicable Analysis
40 Journal de Mathématiques Pures et Appliquées. Neuvième Série
35 ZAMP. Zeitschrift für angewandte Mathematik und Physik
34 Mathematical Methods in the Applied Sciences
31 Applied Mathematics Letters
29 Nonlinear Analysis. Real World Applications
28 Discrete and Continuous Dynamical Systems. Series B
24 Discrete and Continuous Dynamical Systems. Series S
23 Mathematische Annalen
22 Annales Henri Poincaré
22 Nonlinear Analysis. Theory, Methods & Applications
21 Acta Mathematica Sinica. English Series
20 Journal of Dynamics and Differential Equations
20 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
20 Comptes Rendus. Mathématique. Académie des Sciences, Paris
20 Boundary Value Problems
20 Evolution Equations and Control Theory
18 Duke Mathematical Journal
17 Advances in Mathematics
16 The Journal of Geometric Analysis
16 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
16 Advances in Nonlinear Analysis
15 Applied Mathematics and Computation
15 Journal of Nonlinear Science
15 Advanced Nonlinear Studies
15 Journal of Hyperbolic Differential Equations
15 SN Partial Differential Equations and Applications
14 Quarterly of Applied Mathematics
13 Journal d’Analyse Mathématique
13 Mathematische Zeitschrift
13 Annales de l’Institut Henri Poincaré. Physique Théorique
13 Science China. Mathematics
12 Computers & Mathematics with Applications
12 SIAM Journal on Control and Optimization
12 Chinese Annals of Mathematics. Series B
12 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
12 Electronic Journal of Differential Equations (EJDE)
11 Communications on Pure and Applied Mathematics
11 Annali di Matematica Pura ed Applicata. Serie Quarta
11 Electronic Research Archive
10 Journal of Computational Physics
10 Applied Mathematics and Optimization
10 Mathematische Nachrichten
10 Acta Applicandae Mathematicae
10 The Journal of Fourier Analysis and Applications
10 Journal of the European Mathematical Society (JEMS)
10 Séminaire Laurent Schwartz. EDP et Applications
9 Inventiones Mathematicae
9 Applied Numerical Mathematics
9 Acta Mathematicae Applicatae Sinica. English Series
9 Revista Matemática Iberoamericana
9 Asymptotic Analysis
9 MCSS. Mathematics of Control, Signals, and Systems
9 Abstract and Applied Analysis
9 Mediterranean Journal of Mathematics
9 Mathematical Control and Related Fields
8 Letters in Mathematical Physics
8 Reviews in Mathematical Physics
8 SIAM Journal on Numerical Analysis
8 Revista Matemática Complutense
8 Acta Mathematica Scientia. Series B. (English Edition)
8 Analysis & PDE
8 Annals of PDE
7 Journal of Statistical Physics
7 Annales de l’Institut Fourier
7 Osaka Journal of Mathematics
7 Journal of the American Mathematical Society
7 Communications in Nonlinear Science and Numerical Simulation
7 Differential Equations
7 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
7 Analysis and Applications (Singapore)
7 Advances in Difference Equations
7 Complex Variables and Elliptic Equations
7 Analysis and Mathematical Physics
7 AIMS Mathematics
6 Archiv der Mathematik
6 Manuscripta Mathematica
6 Memoirs of the American Mathematical Society
6 Numerische Mathematik
6 Zeitschrift für Analysis und ihre Anwendungen
...and 270 more Serials
all top 5

Cited in 51 Fields

3,132 Partial differential equations (35-XX)
351 Quantum theory (81-XX)
236 Dynamical systems and ergodic theory (37-XX)
174 Operator theory (47-XX)
151 Fluid mechanics (76-XX)
146 Numerical analysis (65-XX)
129 Calculus of variations and optimal control; optimization (49-XX)
119 Statistical mechanics, structure of matter (82-XX)
119 Systems theory; control (93-XX)
113 Optics, electromagnetic theory (78-XX)
98 Ordinary differential equations (34-XX)
94 Functional analysis (46-XX)
86 Mechanics of deformable solids (74-XX)
85 Probability theory and stochastic processes (60-XX)
82 Global analysis, analysis on manifolds (58-XX)
74 Harmonic analysis on Euclidean spaces (42-XX)
58 Real functions (26-XX)
46 Biology and other natural sciences (92-XX)
28 Integral equations (45-XX)
23 Relativity and gravitational theory (83-XX)
18 Mechanics of particles and systems (70-XX)
16 Classical thermodynamics, heat transfer (80-XX)
14 Potential theory (31-XX)
14 Differential geometry (53-XX)
14 Astronomy and astrophysics (85-XX)
10 Difference and functional equations (39-XX)
10 Approximations and expansions (41-XX)
9 Measure and integration (28-XX)
9 Special functions (33-XX)
8 Operations research, mathematical programming (90-XX)
7 Functions of a complex variable (30-XX)
6 Combinatorics (05-XX)
6 Abstract harmonic analysis (43-XX)
5 Number theory (11-XX)
5 Geophysics (86-XX)
4 History and biography (01-XX)
4 Integral transforms, operational calculus (44-XX)
3 General and overarching topics; collections (00-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 General topology (54-XX)
2 Field theory and polynomials (12-XX)
2 Category theory; homological algebra (18-XX)
2 Topological groups, Lie groups (22-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Information and communication theory, circuits (94-XX)
1 Nonassociative rings and algebras (17-XX)
1 \(K\)-theory (19-XX)
1 Group theory and generalizations (20-XX)
1 Algebraic topology (55-XX)
1 Statistics (62-XX)
1 Computer science (68-XX)

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