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Solutions globales d'equations de la chaleur semi lineaires.

Thierry Cazenave , Pierre Louis Lions
Communications in Partial Differential Equations, 2007, 9 (10), pp.955-978. ⟨10.1080/03605308408820353⟩
Article dans une revue hal-02896557v1

Spatial decay and time-asymptotic profiles for solutions of Schroedinger equations

Thierry Cazenave , Fred B. Weissler
Indiana University Mathematics Journal, 2006, 55 (1), pp.75-118. ⟨10.1512/iumj.2006.55.2664⟩
Article dans une revue hal-02896260v1

Existence of standing waves for dirac fields with singular nonlinearities

Mikhaël Balabane , Thierry Cazenave , Luis Vazquez
Communications in Mathematical Physics, 1990, 133 (1), pp.53-74. ⟨10.1007/BF02096554⟩
Article dans une revue hal-02896470v1

The Cauchy problem for the nonlinear Schrödinger equation in H1

Thierry Cazenave , Fred B. Weissler
Manuscripta mathematica, 1988, 61 (4), pp.477-494. ⟨10.1007/BF01258601⟩
Article dans une revue istex hal-02896521v1

Finite-time blowup for a complex Ginzburg-Landau equation with linear driving

Thierry Cazenave , João Paulo Dias , Mário Figueira
Journal of Evolution Equations, 2014, 14 (2), pp.403. ⟨10.1007/s00028-014-0220-z⟩
Article dans une revue hal-00907008v1

Local smooth solutions of the nonlinear Klein-gordon equation

Thierry Cazenave , Ivan Naumkin
Discrete and Continuous Dynamical Systems - Series S, 2021, 14 (5), pp.1649-1672. ⟨10.3934/dcdss.2020448⟩
Article dans une revue hal-02228045v1

Modified scattering for the critical nonlinear Schrödinger equation.

Thierry Cazenave , Ivan Naumkin
Journal of Functional Analysis, 2018, ⟨10.1016/j.jfa.2017.10.022⟩
Article dans une revue hal-01556675v1

Asymptotic behavior for a dissipative nonlinear Schr\"odinger equation

Thierry Cazenave , Zheng Han , Ivan Naumkin
Nonlinear Analysis: Theory, Methods and Applications, 2021, 205, pp.112243. ⟨10.1016/j.na.2020.112243⟩
Article dans une revue hal-02908462v1

Oscillatory phenomena associated to semilinear wave equations in one spatial dimension

Thierry Cazenave , Alain Haraux
Transactions of the American Mathematical Society, 1987, 300 (1), pp.207-207. ⟨10.1090/S0002-9947-1987-0871673-2⟩
Article dans une revue hal-02896542v1

Spatial decay and time-asymptotic profiles for solutions of Schrodinger equations

Thierry Cazenave , Fred B. Weissler
Indiana University Mathematics Journal, 2006, 55, pp.75-118
Article dans une revue hal-00111679v1

The structure of solutions to the pseudo-conformally invariant nonlinear Schrödinger equation

Thierry Cazenave , Fred B. Weissler
Proceedings of the Royal Society of Edinburgh: Section A, Mathematics, 1991, 117 (3-4), pp.251-273. ⟨10.1017/S0308210500024719⟩
Article dans une revue hal-02896465v1

Stable solutions of the logarithmic Schrödinger equation

Thierry Cazenave
Nonlinear Analysis: Theory, Methods & Applications, 1983, 7 (10), pp.1127-1140. ⟨10.1016/0362-546X(83)90022-6⟩
Article dans une revue istex hal-02896561v1

Existence of localized solutions for a classical nonlinear Dirac field

Thierry Cazenave , Luis Vazquez
Communications in Mathematical Physics, 1986, 105 (1), pp.35-47. ⟨10.1007/BF01212340⟩
Article dans une revue hal-02896546v1

A solution of the constant coefficient heat equation on R with exceptional asymptotic behavior: An explicit construction

Thierry Cazenave , Flavio Dickstein , Fred B. Weissler
Journal de Mathématiques Pures et Appliquées, 2006, 85 (1), pp.119-150. ⟨10.1016/j.matpur.2005.08.006⟩
Article dans une revue hal-02896263v1

A Solution of the Heat Equation with a Continuum of Decay Rates

Thierry Cazenave , Flavio Dickstein , Fred B. Weissler
Elliptic and Parabolic Problems, 63, Birkhäuser-Verlag, pp.135-138, 2005, Progress in Nonlinear Differential Equations and Their Applications, ⟨10.1007/3-7643-7384-9_15⟩
Chapitre d'ouvrage istex hal-02896273v1
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Solutions blowing up on any given compact set for the energy subcritical nonlinear wave equation

Thierry Cazenave , Yvan Martel , Lifeng Zhao
Journal of Differential Equations, 2020, ⟨10.1016/j.jde.2019.08.030⟩
Article dans une revue hal-01950804v1

Multi-scale multi-profile solutions of evolution equations

Thierry Cazenave , Flavio Dickstein , Fred B. Weissler
Discrete and Continuous Dynamical Systems - Series S, 2012, 5 (3), pp.449-472. ⟨10.3934/dcdss.2012.5.449⟩
Article dans une revue hal-01378221v1
Image document

Non-regularity in Hölder and Sobolev spaces of solutions to the semilinear heat and Schrödinger equations

Thierry Cazenave , Flávio Dickstein , Fred B. Weissler
Nagoya Mathematical Journal, 2017, 226, pp.44-70. ⟨10.1017/nmj.2016.35⟩
Article dans une revue hal-01139074v1

Solutions with prescribed local blow-up surface for the nonlinear wave equation

Thierry Cazenave , Yvan Martel , Lifeng Zhao
Advanced Nonlinear Studies, 2019, ⟨10.1515/ans-2019-2059⟩
Article dans une revue hal-02093906v1

A solution of the heat equation with a continuum of decay rates, in Elliptic and parabolic problems: A special tribute to the work of Haïm Brezis

Thierry Cazenave , T. Dickstein , F.B. Weissler
Progress in Nonlinear Differential Equations, 2005, 63 Birkhäuser Verlag, Basel, pp.135-138
Article dans une revue hal-00018930v1

Some remarks on the nonlinear Schrödinger equation in the critical case

Thierry Cazenave , Fred B. Weissler
Nonlinear Semigroups, Partial Differential Equations, and Attractors, 1394, Springer, pp.18-29, 1989, Lecture Notes in Mathematics, ⟨10.1007/BFb0086749⟩
Chapitre d'ouvrage istex hal-02896484v1

Some remarks on the nonlinear Schrödinger equation in the subcritical case

Thierry Cazenave , Fred B. Weissler
New Methods and Results in Non-linear Field Equations, 347, Springer-Verlag, pp.59-69, 1989, Lecture Notes in Physics, ⟨10.1007/BFb0025761⟩
Chapitre d'ouvrage istex hal-02896492v1

A note on decay rates for Schrödinger’s equation

Jian Xie , Linzi Zhang , Thierry Cazenave
Proceedings of the American Mathematical Society, 2010, 138 (1), pp.199-207. ⟨10.1090/S0002-9939-09-10049-7⟩
Article dans une revue hal-02896239v1

More self-similar solutions of the nonlinear Schrödinger equation

Thierry Cazenave , Fred B. Weissler
Nonlinear Differential Equations and Applications, 1998, 5 (3), pp.355-365. ⟨10.1007/s000300050050⟩
Article dans une revue istex hal-02896410v1

On the propagation of confined waves along the geodesics

Thierry Cazenave
Journal of Mathematical Analysis and Applications, 1990, 146 (2), pp.591-603. ⟨10.1016/0022-247X(90)90327-C⟩
Article dans une revue hal-02896474v1

Blowup on an arbitrary compact set for a Sch\"odinger equation with nonlinear source term

Thierry Cazenave , Zheng Han , Yvan Martel
Journal of Dynamics and Differential Equations, 2021, 33 (2), pp.941-960. ⟨10.1007/s10884-020-09841-8⟩
Article dans une revue hal-02166159v1

A Fujita-type blowup result and low energy scattering for a nonlinear Schrödinger equation

Thierry Cazenave , Simão Correia , Flavio Dickstein , Fred B. Weissler
São Paulo Journal of Mathematical Sciences, 2015, 9 (2), pp.146-161. ⟨10.1007/s40863-015-0020-6⟩
Article dans une revue hal-01158899v1

Multiscale Asymptotic Behavior of a Solution of the Heat Equation on $$ \mathbb{R}^N $$

Thierry Cazenave , Flavio Dickstein , Fred B. Weissler
Nonlinear Differential Equations: A Tribute to D. G. de Figueiredo, 66, Birkhäuser Verlag, pp.185-194, 2005, Progress in Nonlinear Differential Equations and their Applications, ⟨10.1007/3-7643-7401-2_12⟩
Chapitre d'ouvrage istex hal-02896268v1

Multiscale Asymptotic Behavior of the Schrödinger Equation

Daoyuan Fang , Jian Xie , Thierry Cazenave
Funkcialaj ekvacioj.Serio internacia, 2011, 54 (1), pp.69-94. ⟨10.1619/fesi.54.69⟩
Article dans une revue hal-02895929v1

Asymptotically self-similar global solutions of the nonlinear Schrödinger and heat equations

Thierry Cazenave , Fred B. Weissler
Mathematische Zeitschrift, 1998, 228 (1), pp.83-120. ⟨10.1007/PL00004606⟩
Article dans une revue istex hal-02896419v1