On the stochastic nonlinear Schrödinger equations with non-smooth additive noise

Tadahiro Oh, Oana Pocovnicu, Yuzhao Wang

Research output: Contribution to journalArticlepeer-review

Abstract

We study the stochastic nonlinear Schrödinger equations with additive stochastic forcing. By using the dispersive estimate, we present a simple argument, constructing a unique local-in-time solution with rougher stochastic forcing than those considered in the literature.
Original languageEnglish
Pages (from-to)1227-1243
Number of pages17
JournalKyoto journal of mathematics
Volume60
Issue number4
Early online date30 Sep 2020
DOIs
Publication statusPublished - Dec 2020

Keywords

  • stochastic nonlinear Schrödinger equation
  • well-posedness
  • dispersive estimate

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