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hal-00948570v1  Journal articles
Radoin BelaouarAnne de BouardArnaud Debussche. Numerical analysis of the nonlinear Schrödinger equation with white noise dispersion
Stochastics and Partial Differential Equations: Analysis and Computations, Springer US, 2015, 3 (1), pp.103-132. ⟨10.1007/s40072-015-0044-z⟩
hal-01518915v1  Books
Nalini AnantharamanAnne de BouardFrédéric LagoutièreAnne Gegout-PetitYann Ollivier et al.  Mathématiques: l'explosion continue
Publications de la SMF. pp.1-180, 2013, 978-2-85629-375-1
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hal-00465310v1  Journal articles
Anne de BouardArnaud Debussche. The nonlinear Schrödinger equation with white noise dispersion
Journal of Functional Analysis, Elsevier, 2010, 259 (5), pp.1300-1321. ⟨10.1016/j.jfa.2010.04.002⟩
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hal-00383280v1  Journal articles
Anne de BouardArnaud Debussche. Random modulation of solitons for the stochastic Korteweg–de Vries equation
Annales de l'Institut Henri Poincaré (C) Non Linear Analysis, Elsevier, 2007, 24 (2), pp.251-278. ⟨10.1016/j.anihpc.2006.03.009⟩
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hal-00216208v1  Journal articles
Anne de BouardEric Gautier. Exit problems related to the persistence of solitons for the Korteweg-de Vries equation with small noise
Discrete and Continuous Dynamical Systems - Series A, American Institute of Mathematical Sciences, 2010, 26 (3), pp.857 - 871. ⟨10.3934/dcds.2010.26.857⟩
hal-02388379v1  Journal articles
Anne de BouardErika Hausenblas. The nonlinear Schrödinger equation driven by jump processes
Australian Journal of Mathematical Analysis and Applications, Austral Internet Publishing, 2019, 475 (1), pp.215-252. ⟨10.1016/j.jmaa.2019.02.036⟩
hal-02388375v1  Journal articles
Anne de BouardErika HausenblasMartin Ondrejat. Uniqueness of the nonlinear Schrödinger equation driven by jump processes
Nonlinear Differential Equations and Applications, Springer Verlag, 2019, 26 (3), ⟨10.1007/s00030-019-0569-3⟩
hal-00383396v1  Journal articles
Anne de BouardArnaud Debussche. Blow-up for the stochastic nonlinear Schrödinger equation with multiplicative noise
Annals of Probability, Institute of Mathematical Statistics, 2005, 33 (3), pp.1078-1110. ⟨10.1214/009117904000000964⟩
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hal-01579123v1  Journal articles
Anne de BouardArnaud DebusscheReika Fukuizumi. Long time behavior of Gross-Pitaevskii equation at positive temperature
SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 2018, 50 (6), pp.5887-5920. ⟨10.1137/17M1149195⟩
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hal-03137755v1  Journal articles
Anne de BouardArnaud DebusscheReika Fukuizumi. Two dimensional Gross-Pitaevskii equation with space-time white noise
International Mathematics Research Notices, Oxford University Press (OUP), 2022, ⟨10.1093/imrn/rnac137⟩
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hal-02020241v1  Journal articles
François AlougesAnne de BouardBenoît MerletLéa Nicolas. Stochastic homogenization of the Landau-Lifshitz-Gilbert equation
Stochastics and Partial Differential Equations: Analysis and Computations, Springer US, 2021, Stochastic Partial Differential Equations. Analysis and Computations, 9 (4), pp.789-818. ⟨10.1007/s40072-020-00185-4⟩
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hal-00352881v1  Journal articles
Anne de BouardArnaud Debussche. Soliton dynamics for the Korteweg-de Vries equation with multiplicative homogeneous noise
Electronic Journal of Probability, Institute of Mathematical Statistics (IMS), 2009, 14, pp.1727-1744
hal-00383307v1  Book sections
Anne de BouardArnaud Debussche. The Korteweg-de Vries equation with multiplicative homogeneous noise
Peter H. Baxendale ; Sergey V. Lototsky. Stochastic differential equations: theory and applications, World Scientific Publishing Co, pp.113-133, 2007, Interdisciplinary Mathematical Sciences
hal-00457283v1  Conference papers
Anne de BouardArnaud Debussche. On a stochastic Korteweg-de Vries equation with homogeneous noise
Séminaire Équations aux Dérivées Partielles, École Polytechnique, 2009, Palaiseau, France