Edit Profile (opens in new tab) Cazenave, Thierry Co-Author Distance Author ID: cazenave.thierry Published as: Cazenave, Thierry; Cazenave, T.; Cazenave, Th.; Cazanave, Thierry more...less Documents Indexed: 101 Publications since 1977, including 3 Books 2 Contributions as Editor Co-Authors: 42 Co-Authors with 91 Joint Publications 1,319 Co-Co-Authors all top 5 Co-Authors 10 single-authored 40 Weissler, Fred B. 27 Dickstein, Flávio 13 Haraux, Alain 8 Naumkin, Ivan P. 6 Martel, Yvan 5 Escobedo Martínez, Miguel 5 Han, Zheng 4 Fang, Daoyuan 4 Figueira, Mário S. R. 3 Balabane, Mikhael 3 Brézis, Haïm 3 Xie, Jian 3 Zhao, Lifeng 2 Baillon, Jean-Bernard 2 Dias, João-Paulo 2 Douady, Adrien 2 Lions, Pierre-Louis 2 Merle, Frank 2 Ramiandrisoa, Arthur 2 Ruf, Bernhard 1 Berestycki, Henri 1 Bouzy, Bruno 1 Correia, Simão 1 Costa, David Goldstein 1 Esteban, Maria J. 1 Gossez, Jean-Pierre 1 Kavian, Otared 1 Lopes, Orlando Francisco 1 Manasevich, Raul F. 1 Moreira dos Santos, Ederson 1 Nolasco de Carvalho, Alexandre 1 Pozio, Maria Assunta 1 Rabinowitz, Paul Henry 1 Scialom, Marcia 1 Shatah, Jalal 1 Snoussi, Seifeddine 1 Soares, Sérgio H. Monari 1 Tahvildar-Zadeh, A. Shadi 1 Tomei, Carlos 1 Vega, Luis 1 Vilela, Mari Cruz 1 Zhang, Linzi 1 Zuazua, Enrique 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) all top 5 Fields 98 Partial differential equations (35-XX) 10 Quantum theory (81-XX) 7 Ordinary differential equations (34-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Operator theory (47-XX) 4 Fluid mechanics (76-XX) 2 General and overarching topics; collections (00-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Numerical analysis (65-XX) 2 Optics, electromagnetic theory (78-XX) 2 Geophysics (86-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications 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 1,247 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 1,247 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 cited Publications top 5 cited Publications 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 all top 5 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) Citations by Year