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 Homepage: http://cazenavet.free.fr/ External Links: MGP · ORCID · Google Scholar · ResearchGate · IdRef · theses.fr Documents Indexed: 101 Publications since 1977, including 3 Books 2 Contributions as Editor Co-Authors: 44 Co-Authors with 93 Joint Publications 1,400 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 Vázquez, Luis 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 5,254 times in 3,751 Documents Cited by ▼ Year ▼ Semilinear Schrödinger equations. Zbl 1055.35003 Cazenave, Thierry 1,532 2003 Orbital stability of standing waves for some nonlinear Schrödinger equations. Zbl 0513.35007 Cazenave, T.; Lions, Pierre-Louis 581 1982 An introduction to semilinear evolution equations. Transl. by Yvan Martel. Revised ed. Zbl 0926.35049 Cazenave, Thierry; Haraux, Alain 450 1998 The Cauchy problem for the critical nonlinear Schrödinger equation in \(H^ s\). Zbl 0706.35127 Cazenave, Thierry; Weissler, Fred B. 410 1990 Instabilité des etats stationnaires dans les équations de Schrödinger et de Klein-Gordon non linéaires. Zbl 0492.35010 Berestycki, Henri; Cazenave, Thierry 176 1981 A nonlinear heat equation with singular initial data. Zbl 0868.35058 Brézis, Haïm; Cazenave, Thierry 150 1996 Blow up for \(u_ t- \Delta u=g(u)\) revisited. Zbl 0855.35063 Brézis, Haim; Cazenave, Thierry; Martel, Yvan; Ramiandrisoa, Arthur 136 1996 Equations d’évolution avec non linearite logarithmique. Zbl 0411.35051 Cazenave, Thierry; Haraux, Alain 131 1980 Rapidly decaying solutions of the nonlinear Schrödinger equation. Zbl 0763.35085 Cazenave, Thierry; Weissler, Fred B. 96 1992 Some remarks on the nonlinear Schrödinger equation in the critical case. Zbl 0694.35170 Cazenave, Thierry; Weissler, Fred B. 94 1989 Stable solutions of the logarithmic Schrödinger equation. Zbl 0529.35068 Cazenave, Thierry 91 1983 Introduction to semilinear evolution problems. (Introduction aux problèmes d’évolution semi-linéaires.) Zbl 0786.35070 Cazenave, Thierry; Haraux, Alain 90 1990 Solutions globales d’équations de la chaleur semi linéaires. (Global solutions of semi-linear heat equations). Zbl 0555.35067 Cazenave, Thierry; Lions, Pierre-Louis 83 1984 The Cauchy problem for the nonlinear Schrödinger equation in \(H^ 1\). Zbl 0696.35153 Cazenave, Thierry; Weissler, Fred B. 78 1988 Existence of localized solutions for a classical nonlinear Dirac field. Zbl 0596.35117 Cazenave, Thierry; Vazquez, Luis 72 1986 Scattering for the focusing energy-subcritical nonlinear Schrödinger equation. Zbl 1230.35128 Fang, Daoyuan; Xie, Jian; Cazenave, Thierry 72 2011 An equation whose Fujita critical exponent is not given by scaling. Zbl 1132.35308 Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 65 2008 Asymptotically self-similar global solutions of the nonlinear Schrödinger and heat equations. Zbl 0916.35109 Cazenave, Thierry; Weissler, Fred B. 65 1998 Existence of excited states for a nonlinear Dirac field. Zbl 0696.35158 Balabane, Mikhael; Cazenave, Thierry; Douady, Adrien; Merle, Frank 50 1988 Existence of standing waves for Dirac fields with singular nonlinearities. Zbl 0721.35065 Balabane, Mikhael; Cazenave, Thierry; Vázquez, Luis 47 1990 Equations de Schrödinger non linéaires en dimension deux. Zbl 0428.35021 Cazenave, Thierry 37 1979 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 36 1998 Uniform estimates for solutions of nonlinear Klein-Gordon equations. Zbl 0568.35068 Cazenave, Thierry 35 1985 Continuous dependence for NLS in fractional order spaces. Zbl 1209.35124 Cazenave, Thierry; Fang, Daoyuan; Han, Zheng 35 2011 Local existence, global existence, and scattering for the nonlinear Schrödinger equation. Zbl 1365.35149 Cazenave, Thierry; Naumkin, Ivan 31 2017 Modified scattering for the critical nonlinear Schrödinger equation. Zbl 1428.35490 Cazenave, Thierry; Naumkin, Ivan 31 2018 A Schrödinger equation with time-oscillating nonlinearity. Zbl 1200.35285 Cazenave, Thierry; Scialom, Márcia 31 2010 Finite-time blowup for a complex Ginzburg-Landau equation. Zbl 1284.35411 Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 31 2013 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 On the stability of stationary states for nonlinear Schrödinger equations with an external magnetic field. Zbl 0681.35011 Cazenave, Thierry; Esteban, Maria J. 18 1988 Unstable simple modes of the nonlinear string. Zbl 0866.34044 Cazenave, Thierry; Weissler, Fred B. 17 1996 Equation de Schrödinger non linéaire. Zbl 0349.35048 Baillon, Jean-Bernard; Cazenave, Thierry; Figueira, Mario 17 1977 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 Oscillatory phenomena associated to semilinear wave equations in one spatial dimension. Zbl 0628.35058 Cazenave, T.; Haraux, A. 14 1987 Chaotic behavior of solutions of the Navier-Stokes system in \(\mathbb R^N \). Zbl 1208.35101 Cazanave, Thierry; Dickstein, Flávio; Weissler, Fred B. 14 2005 Some remarks on the nonlinear Schrödinger equation in the subcritical case. Zbl 0699.35217 Cazenave, Thierry; Weissler, Fred B. 14 1989 Self-similar solutions of a nonlinear heat equation. Zbl 0996.35031 Cazenave, Thierry; Dickstein, Flávio; Escobedo, Miguel; Weissler, Fred B. 14 2001 Universal solutions of a nonlinear heat equation on \(\mathbb R^N\). Zbl 1170.35448 Dickstein, Flávio; Cazenave, Thierry; Weissler, Fred B. 14 2003 Multi-scale multi-profile global solutions of parabolic equations in \(\mathbb{R}^N \). Zbl 1250.35030 Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 13 2012 Asymptotic behavior for a dissipative nonlinear Schrödinger equation. Zbl 1458.35383 Cazenave, Thierry; Han, Zheng; Naumkin, Ivan 13 2021 Universal solutions of the heat equation on \(\mathbb{R}^N\). Zbl 1029.35105 Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 13 2003 Standing waves of the complex Ginzburg-Landau equation. Zbl 1288.35442 Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 12 2014 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 Some oscillatory properties of the wave equation in several space dimensions. Zbl 0656.35099 Cazenave, Thierry; Haraux, Alain 12 1988 Global existence and blowup for sign-changing solutions of the nonlinear heat equation. Zbl 1176.35010 Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 12 2009 The structure of solutions to the pseudo-conformally invariant nonlinear Schrödinger equation. Zbl 0733.35094 Cazenave, Thierry; Weissler, Fred B. 11 1991 Finite-time blowup for a Schrödinger equation with nonlinear source term. Zbl 1404.35405 Cazenave, Thierry; Martel, Yvan; Zhao, Lifeng 11 2019 Asymptotic behavior for a Schrödinger equation with nonlinear subcritical dissipation. Zbl 1440.35305 Cazenave, Thierry; Han, Zheng 11 2020 Computer Go: An AI oriented survey. Zbl 0983.68152 Bouzy, B.; Cazenave, T. 10 2001 Finite-time blowup for a complex Ginzburg-Landau equation with linear driving. Zbl 1305.35133 Cazenave, Thierry; Dias, João-Paulo; Figueira, Mário 9 2014 Scattering theory and self-similar solutions for the nonlinear Schrödinger equation. Zbl 0944.35095 Cazenave, Thierry; Weissler, Fred B. 9 2000 Nonparabolic asymptotic limits of solutions of the heat equation on \({\mathbb{R}}^N\). Zbl 1143.35008 Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 9 2007 Asymptotically periodic solutions for a class of nonlinear coupled oscillators. Zbl 0837.34056 Cazenave, Thierry; Weissler, Fred B. 8 1995 Equation de Schrödinger avec non-linearite logarithmique. Zbl 0406.35013 Cazenave, Thierry; Haraux, Alain 8 1979 Local well-posedness for the \(H^2\)-critical nonlinear Schrödinger equation. Zbl 1372.35282 Cazenave, Thierry; Fang, Daoyuan; Han, Zheng 8 2016 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. 8 2020 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 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 Multiscale asymptotic behavior of the Schrödinger equation. Zbl 1215.35148 Fang, Daoyuan; Xie, Jian; Cazenave, Thierry 6 2011 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 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 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. 5 2006 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 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 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 Spectral properties of stationary solutions of the nonlinear heat equation. Zbl 1211.35151 Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 4 2011 A note on decay rates for Schrödinger’s equation. Zbl 1180.35439 Xie, Jian; Zhang, Linzi; Cazenave, Thierry 4 2010 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 A two-parameter shooting problem for a second-order differential equation. Zbl 0810.34024 Cazenave, Thierry; Escobedo, Miguel 3 1994 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 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 On the influence of boundary conditions on flows in porous media. Zbl 0987.76092 Cazenave, Thierry; Dickstein, Flávio 3 2001 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 A remark on the decay of the solutions of some Schrödinger equations. Zbl 0531.35024 Cazenave, Thierry; Dias, João-Paulo; Figueira, Mário 2 1982 Contributions to nonlinear elliptic equations and systems. A tribute to Djairo Guedes de Figueiredo on the occasion of his 80th birthday. Zbl 1336.35006 2 2015 Solutions with prescribed local blow-up surface for the nonlinear wave equation. Zbl 1437.35494 Cazenave, Thierry; Martel, Yvan; Zhao, Lifeng 2 2019 Spatial decay and time-asymptotic profiles for solutions of Schrödinger equations. Zbl 1180.35476 Cazenave, Thierry; Weissler, Fred B. 2 2006 On the initial value problem for a linear model of well-reservoir coupling. Zbl 0893.35103 Cazenave, Thierry; Dickstein, Flavio 1 1996 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 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 Blowup for a time-oscillating nonlinear heat equation. Zbl 1324.35099 Cazenave, Th.; Escobedo, M.; Zuazua, E. 1 2013 Local smooth solutions of the nonlinear Klein-Gordon equation. Zbl 1479.35570 Cazenave, Thierry; Naumkin, Ivan 1 2021 Contributions to nonlinear analysis. A tribute to D. G. de Figueiredo on the occasion of his 70th birthday. Zbl 1083.35003 1 2006 Asymptotic behavior for a dissipative nonlinear Schrödinger equation. Zbl 1458.35383 Cazenave, Thierry; Han, Zheng; Naumkin, Ivan 13 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 11 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. 8 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 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 31 2018 Local existence, global existence, and scattering for the nonlinear Schrödinger equation. Zbl 1365.35149 Cazenave, Thierry; Naumkin, Ivan 31 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 8 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 2 2015 Standing waves of the complex Ginzburg-Landau equation. Zbl 1288.35442 Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 12 2014 Finite-time blowup for a complex Ginzburg-Landau equation with linear driving. Zbl 1305.35133 Cazenave, Thierry; Dias, João-Paulo; Figueira, Mário 9 2014 Finite-time blowup for a complex Ginzburg-Landau equation. Zbl 1284.35411 Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 31 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. 13 2012 Scattering for the focusing energy-subcritical nonlinear Schrödinger equation. Zbl 1230.35128 Fang, Daoyuan; Xie, Jian; Cazenave, Thierry 72 2011 Continuous dependence for NLS in fractional order spaces. Zbl 1209.35124 Cazenave, Thierry; Fang, Daoyuan; Han, Zheng 35 2011 Multiscale asymptotic behavior of the Schrödinger equation. Zbl 1215.35148 Fang, Daoyuan; Xie, Jian; Cazenave, Thierry 6 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 4 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. 12 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. 65 2008 Nonparabolic asymptotic limits of solutions of the heat equation on \({\mathbb{R}}^N\). Zbl 1143.35008 Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 9 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. 5 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. 14 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 1,532 2003 Universal solutions of a nonlinear heat equation on \(\mathbb R^N\). Zbl 1170.35448 Dickstein, Flávio; Cazenave, Thierry; Weissler, Fred B. 14 2003 Universal solutions of the heat equation on \(\mathbb{R}^N\). Zbl 1029.35105 Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 13 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. 14 2001 Computer Go: An AI oriented survey. Zbl 0983.68152 Bouzy, B.; Cazenave, T. 10 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 450 1998 Asymptotically self-similar global solutions of the nonlinear Schrödinger and heat equations. Zbl 0916.35109 Cazenave, Thierry; Weissler, Fred B. 65 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 36 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 150 1996 Blow up for \(u_ t- \Delta u=g(u)\) revisited. Zbl 0855.35063 Brézis, Haim; Cazenave, Thierry; Martel, Yvan; Ramiandrisoa, Arthur 136 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. 96 1992 The structure of solutions to the pseudo-conformally invariant nonlinear Schrödinger equation. Zbl 0733.35094 Cazenave, Thierry; Weissler, Fred B. 11 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. 410 1990 Introduction to semilinear evolution problems. (Introduction aux problèmes d’évolution semi-linéaires.) Zbl 0786.35070 Cazenave, Thierry; Haraux, Alain 90 1990 Existence of standing waves for Dirac fields with singular nonlinearities. Zbl 0721.35065 Balabane, Mikhael; Cazenave, Thierry; Vázquez, Luis 47 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. 94 1989 Some remarks on the nonlinear Schrödinger equation in the subcritical case. Zbl 0699.35217 Cazenave, Thierry; Weissler, Fred B. 14 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. 78 1988 Existence of excited states for a nonlinear Dirac field. Zbl 0696.35158 Balabane, Mikhael; Cazenave, Thierry; Douady, Adrien; Merle, Frank 50 1988 On the stability of stationary states for nonlinear Schrödinger equations with an external magnetic field. Zbl 0681.35011 Cazenave, Thierry; Esteban, Maria J. 18 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. 14 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 72 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 35 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 83 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 91 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 581 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 176 1981 Equations d’évolution avec non linearite logarithmique. Zbl 0411.35051 Cazenave, Thierry; Haraux, Alain 131 1980 Equations de Schrödinger non linéaires en dimension deux. Zbl 0428.35021 Cazenave, Thierry 37 1979 Equation de Schrödinger avec non-linearite logarithmique. Zbl 0406.35013 Cazenave, Thierry; Haraux, Alain 8 1979 Equation de Schrödinger non linéaire. Zbl 0349.35048 Baillon, Jean-Bernard; Cazenave, Thierry; Figueira, Mario 17 1977 all cited Publications top 5 cited Publications all top 5 Cited by 3,121 Authors 44 Cazenave, Thierry 43 Zhang, Jian 42 Carles, Rémi 41 Ozawa, Tohru 37 Feng, Binhua 36 Dinh, Van Duong 34 Hayashi, Nakao 32 Merle, Frank 31 Martel, Yvan 31 Naumkin, Pavel Ivanovich 26 Weissler, Fred B. 25 Murphy, Jason 25 Saanouni, Tarek 24 Díaz Díaz, Jesús Ildefonso 24 Miao, Changxing 24 Raphael, Pierre 24 Zhu, Shihui 22 Antonelli, Paolo 22 Guo, Boling 22 Kaikina, Elena Igorevna 21 Jeanjean, Louis 21 Wang, Baoxiang 21 Zheng, Jiqiang 20 Bao, Weizhu 20 Hajaiej, Hichem 20 Ohta, Masahito 19 Cuccagna, Scipio 19 Hoshino, Gaku 19 Ikeda, Masahiro 19 Pastor, Ademir 19 Tayachi, Slim 18 Guo, Yujin 17 Georgiev, Vladimir S. 17 Haraux, Alain 17 Kenig, Carlos Eduardo 17 Ogawa, Takayoshi 17 Wang, Zhi-Qiang 16 Dias, João-Paulo 16 Dodson, Benjamin G. 16 Tzvetkov, Nikolay 16 Visciglia, Nicola 16 Xu, Guixiang 16 Zhao, Dun 15 Ding, Yanheng 15 Nakamura, Makoto 15 Naumkin, Ivan P. 15 Oh, Tadahiro 15 Rodríguez-Bernal, Aníbal 15 Roudenko, Svetlana 15 Souplet, Philippe 15 Zhao, Lifeng 15 Zuazua, Enrique 14 Inui, Takahisa 14 Xu, Runzhang 13 Adami, Riccardo 13 Angulo Pava, Jaime 13 Hernandez Ardila, Alex 13 Correia, Simão 13 Dickstein, Flávio 13 Dovetta, Simone 13 Fang, Daoyuan 13 Fino, Ahmad Z. 13 Ignat, Liviu I. 13 Karachalios, Nikos I. 13 Kirane, Mokhtar 13 Ma, Li 13 Nakanishi, Kenji 13 Ponce, Gustavo 13 Sparber, Christof 13 Valovik, Dmitry V. 13 Vega, Luis 13 Visan, Monica 13 Wang, Liangwei 12 Cui, Shangbin 12 Debussche, Arnaud 12 Figueira, Mário S. R. 12 Gazzola, Filippo 12 Luo, Xiao 12 Méhats, Florian 12 Noja, Diego 12 Pelinovsky, Dmitry Efimovich 12 Squassina, Marco 12 Zhao, Zehua 11 Alouini, Brahim 11 Alves, Claudianor Oliveira 11 Banica, Valeria 11 Bégout, Pascal 11 Cho, Yonggeun 11 Duyckaerts, Thomas 11 Ferreira, Lucas Catão de Freitas 11 Gan, Zaihui 11 Hong, Younghun 11 Kikuchi, Hiroaki 11 Marcati, Pierangelo 11 Masaki, Satoshi 11 Mironchenko, Andrii 11 Tang, Xianhua 11 Tentarelli, Lorenzo 11 Wei, Juncheng 11 Zhang, Xiaoyi ...and 3,021 more Authors all top 5 Cited in 401 Serials 258 Journal of Differential Equations 225 Journal of Mathematical Analysis and Applications 182 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 94 Communications in Mathematical Physics 93 Journal of Functional Analysis 92 Journal of Mathematical Physics 87 Discrete and Continuous Dynamical Systems 82 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 78 Mathematical Methods in the Applied Sciences 71 Communications on Pure and Applied Analysis 61 Nonlinearity 61 Journal of Evolution Equations 60 Calculus of Variations and Partial Differential Equations 59 SIAM Journal on Mathematical Analysis 56 Communications in Partial Differential Equations 51 NoDEA. Nonlinear Differential Equations and Applications 50 Physica D 46 Archive for Rational Mechanics and Analysis 44 Transactions of the American Mathematical Society 43 Applicable Analysis 43 Proceedings of the American Mathematical Society 43 Journal de Mathématiques Pures et Appliquées. Neuvième Série 43 Communications in Contemporary Mathematics 41 ZAMP. Zeitschrift für angewandte Mathematik und Physik 33 Nonlinear Analysis. Real World Applications 32 Applied Mathematics Letters 31 Discrete and Continuous Dynamical Systems. Series B 27 Discrete and Continuous Dynamical Systems. 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EDP et Applications 10 Inventiones Mathematicae 10 Asymptotic Analysis 10 MCSS. Mathematics of Control, Signals, and Systems 10 The Journal of Fourier Analysis and Applications 10 Differential Equations 10 Journal of Pseudo-Differential Operators and Applications 9 SIAM Journal on Numerical Analysis 9 Studies in Applied Mathematics 9 Zeitschrift für Analysis und ihre Anwendungen 9 Acta Mathematicae Applicatae Sinica. English Series 9 Abstract and Applied Analysis 9 Communications in Nonlinear Science and Numerical Simulation 9 Mediterranean Journal of Mathematics 8 Journal of Statistical Physics 8 Letters in Mathematical Physics 8 Reviews in Mathematical Physics 8 Memoirs of the American Mathematical Society 8 Osaka Journal of Mathematics 8 Revista Matemática Complutense 8 Acta Mathematica Scientia. Series B. (English Edition) 8 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 8 Analysis and Applications (Singapore) 8 Analysis and Mathematical Physics 8 Stochastic and Partial Differential Equations. Analysis and Computations 8 Annals of PDE 7 Mathematics of Computation 7 Annales de l’Institut Fourier 7 Manuscripta Mathematica 7 Journal of the American Mathematical Society 7 Journal of Mathematical Sciences (New York) ...and 301 more Serials all top 5 Cited in 52 Fields 3,558 Partial differential equations (35-XX) 385 Quantum theory (81-XX) 265 Dynamical systems and ergodic theory (37-XX) 197 Operator theory (47-XX) 171 Numerical analysis (65-XX) 163 Fluid mechanics (76-XX) 147 Calculus of variations and optimal control; optimization (49-XX) 142 Systems theory; control (93-XX) 133 Optics, electromagnetic theory (78-XX) 130 Statistical mechanics, structure of matter (82-XX) 112 Ordinary differential equations (34-XX) 107 Functional analysis (46-XX) 98 Probability theory and stochastic processes (60-XX) 91 Mechanics of deformable solids (74-XX) 89 Global analysis, analysis on manifolds (58-XX) 81 Harmonic analysis on Euclidean spaces (42-XX) 66 Real functions (26-XX) 51 Biology and other natural sciences (92-XX) 31 Integral equations (45-XX) 24 Relativity and gravitational theory (83-XX) 20 Mechanics of particles and systems (70-XX) 18 Potential theory (31-XX) 16 Classical thermodynamics, heat transfer (80-XX) 15 Differential geometry (53-XX) 14 Astronomy and astrophysics (85-XX) 11 Difference and functional equations (39-XX) 11 Approximations and expansions (41-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Measure and integration (28-XX) 10 Special functions (33-XX) 9 Functions of a complex variable (30-XX) 8 Operations research, mathematical programming (90-XX) 7 Combinatorics (05-XX) 7 Abstract harmonic analysis (43-XX) 7 Computer science (68-XX) 6 Number theory (11-XX) 6 Geophysics (86-XX) 4 History and biography (01-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Integral transforms, operational calculus (44-XX) 3 General and overarching topics; collections (00-XX) 3 Category theory; homological algebra (18-XX) 3 Topological groups, Lie groups (22-XX) 3 General topology (54-XX) 2 Field theory and polynomials (12-XX) 2 Nonassociative rings and algebras (17-XX) 2 Statistics (62-XX) 2 Information and communication theory, circuits (94-XX) 1 Mathematical logic and foundations (03-XX) 1 \(K\)-theory (19-XX) 1 Group theory and generalizations (20-XX) 1 Algebraic topology (55-XX) Citations by Year