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Random weighted Sobolev inequalities on $\mathbb{R}^d$ and application to Hermite functions

Aurélien Poiret , Didier Robert , Laurent Thomann
Annales Henri Poincaré, 2015, 16 (2), pp.651--689
Article dans une revue hal-00846154v2
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On the continuous resonant equation for NLS: I. Deterministic analysis

Pierre Germain , Zaher Hani , Laurent Thomann
Journal de Mathématiques Pures et Appliquées, 2016, 105 (1), pp.131-163. ⟨10.1016/j.matpur.2015.10.002⟩
Article dans une revue hal-01103987v2
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Obstruction to the bilinear control of the Gross-Pitaevskii equation: an example with an unbounded potential

Thomas Chambrion , Laurent Thomann
Joint 8th IFAC Symposium on Mechatronic Systems and 11th IFAC Symposium on Nonlinear Control Systems, Sep 2019, Vienne, Austria. pp.304 - 309, ⟨10.1016/j.ifacol.2019.11.796⟩
Communication dans un congrès hal-02063308v2
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A nonlinear Schrödinger equation with fractional noise

Aurélien Deya , Nicolas Schaeffer , Laurent Thomann
Transactions of the American Mathematical Society, In press, ⟨10.1090/tran/8368⟩
Article dans une revue hal-02560132v2
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On random weighted Sobolev inequalities on R^d and applications

Didier Robert , Laurent Thomann
Spectral Theory and Partial Differential Equations, 640, American Mathematical Society, pp.115--135, 2015, 978-1-4704-0989-0. ⟨10.1090/conm/640/12843⟩
Chapitre d'ouvrage hal-01620210v1
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Growth of Sobolev norms for coupled Lowest Landau Level equations

Valentin Schwinte , Laurent Thomann
Pure and Applied Analysis, 2021, 3 (1), pp.189--222. ⟨10.2140/paa.2021.3.189⟩
Article dans une revue hal-02648570v2
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On the high frequency limit of the LLL equation

Pierre Germain , Laurent Thomann
Quarterly of Applied Mathematics, 2016, 74 (4), pp.633-641. ⟨10.1090/qam/1435⟩
Article dans une revue hal-01206420v1

Global infinite energy solutions for the cubic wave equation

Nikolay Tzvetkov , Laurent Thomann , Nicolas Burq
Bulletin de la Société Mathématique, 2015, 2, pp.301-313
Article dans une revue hal-02979970v1
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Instabilité des équations de Schrödinger

Laurent Thomann
Mathématiques [math]. Université Paris Sud - Paris XI, 2007. Français. ⟨NNT : ⟩
Thèse tel-00265284v1
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Asymptotic behavior of the nonlinear Schrödinger equation with harmonic trapping

Zaher Hani , Laurent Thomann
Communications on Pure and Applied Mathematics, 2016, 69 (9), pp.1727-1776. ⟨10.1002/cpa.21594⟩
Article dans une revue hal-01058244v1
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Remarks on the Gibbs measures for nonlinear dispersive equations

Nicolas Burq , Laurent Thomann , Nikolay Tzvetkov
Annales de la Faculté des Sciences de Toulouse. Mathématiques., 2018, 27 (3), pp.527--597. ⟨10.5802/afst.1578⟩
Article dans une revue hal-01097696v1
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Growth of Sobolev norms for linear Schrödinger operators

Laurent Thomann
2020
Pré-publication, Document de travail hal-02746457v2
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Bilinear Strichartz estimates and almost sure global solutions for the nonlinear Schrödinger equation

Nicolas Burq , Aurélien Poiret , Laurent Thomann
2023
Pré-publication, Document de travail hal-04066398v1
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A remark on the Schrödinger smoothing effect

Laurent Thomann
Asymptotic Analysis, 2010, 69 (1-2), pp.117--123
Article dans une revue hal-00422424v2
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A topological obstruction to the controllability of nonlinear wave equations with bilinear control term

Thomas Chambrion , Laurent Thomann
SIAM Journal on Control and Optimization, 2019, 57 (4), pp.2315-2327. ⟨10.1137/18M1215207⟩
Article dans une revue hal-01876952v3
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On random Hermite series

Rafik Imekraz , Didier Robert , Laurent Thomann
Transactions of the American Mathematical Society, 2016, 368 (4), pp.2763--2792
Article dans une revue hal-00961222v1
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Probabilistic global well-posedness for the supercritical nonlinear harmonic oscillator

Aurélien Poiret , Didier Robert , Laurent Thomann
Analysis & PDE, 2014, 7 (4), pp.997--1026
Article dans une revue hal-00857679v2
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Almost sure scattering for the one dimensional nonlinear Schrödinger equation

Nicolas Burq , Laurent Thomann
2020
Pré-publication, Document de travail hal-03081927v3
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Stability of large periodic solutions of Klein-Gordon near a homoclinic orbit

Benoît Grébert , Tiphaine Jézéquel , Laurent Thomann
Journal of Nonlinear Science, 2015, 25 (2), pp.371--388
Article dans une revue hal-00914828v2
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Long time dynamics for the one dimensional non linear Schrödinger equation

Nicolas Burq , Laurent Thomann , Nikolay Tzvetkov
Annales de l'Institut Fourier, 2013, 63 (6), pp.2137--2198
Article dans une revue hal-00458610v1
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Dynamics on resonant clusters for the quintic non linear Schrödinger equation

Emanuele Haus , Laurent Thomann
Dynamics of Partial Differential Equations, 2013, 10 (2), pp.157--169
Article dans une revue hal-00746080v1
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Invariant Gibbs measures for the 2-d defocusing nonlinear wave equations

Tadahiro Oh , Laurent Thomann
2017
Pré-publication, Document de travail hal-01498368v2
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Random weighted Sobolev inequalities and application to quantum ergodicity

Didier Robert , Laurent Thomann
Communications in Mathematical Physics, 2015, 335 (3), pp.1181--1209
Article dans une revue hal-00919443v3
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Nonlinear quasimodes near elliptic periodic geodesics

Pierre Albin , Hans Christianson , Jeremy Marzuola , Laurent Thomann
Physica D: Nonlinear Phenomena, 2012, 241 (4), pp.409--425
Article dans une revue hal-00577784v1
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Gibbs measure for the periodic derivative nonlinear Schrödinger equation

Laurent Thomann , Nikolay Tzvetkov
Nonlinearity, 2011, 23 (11), pp.2771--2791
Article dans une revue hal-00449963v4
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On the stability of the Abrikosov lattice in the Lowest Landau Level

Pierre Germain , Valentin Schwinte , Laurent Thomann
2024
Pré-publication, Document de travail hal-04536250v1
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Dynamics of Klein-Gordon on a compact surface near an homoclinic orbit

Benoît Grébert , Tiphaine Jézéquel , Laurent Thomann
Discrete and Continuous Dynamical Systems - Series A, 2014, 34 (9), pp.3485--3510
Article dans une revue hal-00752478v2
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On the bilinear control of the Gross-Pitaevskii equation

Thomas Chambrion , Laurent Thomann
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2020, 37 (3), pp.605--626. ⟨10.1016/j.anihpc.2020.01.001⟩
Article dans une revue hal-01901819v2
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Modified scattering for the cubic Schrödinger equation on product spaces: the nonresonant case

Benoît Grébert , Eric Paturel , Laurent Thomann
Mathematical Research Letters, 2016, 23 (3), pp.841--861. ⟨10.4310/MRL.2016.v23.n3.a13⟩
Article dans une revue hal-01120695v2

KAM for the quantum harmonic oscillator

Benoît Grébert , Laurent Thomann
Communications in Mathematical Physics, 2011, 307 (2), pp.383-427. ⟨10.1007/s00220-011-1327-5⟩
Article dans une revue hal-00464193v1