Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

The nonlinear stochastic Schrödinger equation via stochastic Strichartz estimates

The nonlinear stochastic Schrödinger equation via stochastic Strichartz estimates We consider the stochastic NLS with nonlinear Stratonovich noise for initial values in $${L^2({\mathbb {R}^d})}$$ L 2 ( R d ) and prove local existence and uniqueness of a mild solution for subcritical and critical nonlinearities. The proof is based on deterministic and stochastic Strichartz estimates. In the subcritical case we prove that the solution is global, if we impose an additional assumption on the nonlinear noise. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Evolution Equations Springer Journals

The nonlinear stochastic Schrödinger equation via stochastic Strichartz estimates

Journal of Evolution Equations , Volume 18 (3) – Feb 22, 2018

Loading next page...
 
/lp/springer-journals/the-nonlinear-stochastic-schr-dinger-equation-via-stochastic-5WRLbcIgyO

References (27)

Publisher
Springer Journals
Copyright
Copyright © 2018 by Springer International Publishing AG, part of Springer Nature
Subject
Mathematics; Analysis
ISSN
1424-3199
eISSN
1424-3202
DOI
10.1007/s00028-018-0433-7
Publisher site
See Article on Publisher Site

Abstract

We consider the stochastic NLS with nonlinear Stratonovich noise for initial values in $${L^2({\mathbb {R}^d})}$$ L 2 ( R d ) and prove local existence and uniqueness of a mild solution for subcritical and critical nonlinearities. The proof is based on deterministic and stochastic Strichartz estimates. In the subcritical case we prove that the solution is global, if we impose an additional assumption on the nonlinear noise.

Journal

Journal of Evolution EquationsSpringer Journals

Published: Feb 22, 2018

There are no references for this article.