An \(L^p\)-theory for almost sure local well-posedness of the nonlinear Schrödinger equations

DOI10.1016/J.CRMA.2018.04.009zbMath1393.35225OpenAlexW2802099209MaRDI QIDQ1636154

Oana Pocovnicu, Yu-Zhao Wang

Publication date: 4 June 2018

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2018.04.009

zbMATH Keywords

nonlinear Schrödinger equationsrandom and rough initial data

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (5)

Almost sure scattering at mass regularity for radial Schrödinger equations ⋮ Almost sure well-posedness and scattering of the 3D cubic nonlinear Schrödinger equation ⋮ On the stochastic nonlinear Schrödinger equations with nonsmooth additive noise ⋮ On the Probabilistic Cauchy Theory for Nonlinear Dispersive PDEs ⋮ Higher order expansions for the probabilistic local Cauchy theory of the cubic nonlinear Schrödinger equation on ℝ³

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