Behaviour of solutions to the 1D focusing stochastic L2-critical and supercritical nonlinear Schrödinger equation with space-time white noise

DOI10.1093/IMAMAT/HXAB040zbMath1492.35316arXiv2005.14266OpenAlexW3214219151MaRDI QIDQ5081604

Annie Millet, Svetlana Roudenko, Kai Yang

Publication date: 17 June 2022

Published in: IMA Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.14266

zbMATH Keywords

multiplicative noiseadditive noisespace-time white noisestochastic NLSblow-up dynamicsmass-conservative numerical schemes

Mathematics Subject Classification ID

White noise theory (60H40) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs with randomness, stochastic partial differential equations (35R60) Blow-up in context of PDEs (35B44) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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