Uniqueness of martingale solutions for the stochastic nonlinear Schrödinger equation on 3d compact manifolds-Reference-Cited by-同舟云学术

Uniqueness of martingale solutions for the stochastic nonlinear Schrödinger equation on 3d compact manifolds

Published:2022-03-02 Issue:3 Volume:10 Page:828-857
ISSN:2194-0401
Container-title:Stochastics and Partial Differential Equations: Analysis and Computations
language:en
Short-container-title:Stoch PDE: Anal Comp

Author:

Brzeźniak Zdzisław^ORCID,Hornung Fabian,Weis Lutz

Abstract

AbstractWe prove the pathwise uniqueness of solutions of the nonlinear Schrödinger equation with conservative multiplicative noise on compact 3D manifolds. In particular, we generalize the result by Burq, Gérard and Tzvetkov, [7], to the stochastic setting. The proof is based on the deterministic and new stochastic spectrally localized Strichartz estimates and the Littlewood-Paley decomposition.

Funder

Deutsche Forschungsgemeinschaft

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Modeling and Simulation,Statistics and Probability

Link

https://link.springer.com/content/pdf/10.1007/s40072-022-00238-w.pdf

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