On the stochastic nonlinear Schrodinger equations with nonsmooth additive noise

被引：5

作者：

Oh, Tadahiro ^{[1
,2
]}

Pocovnicu, Oana ^{[2
,3
]}

Wang, Yuzhao ^{[4
]}

机构：

[1] Univ Edinburgh, Sch Math, Edinburgh, Midlothian, Scotland

[2] Maxwell Inst Math Sci, Edinburgh, Midlothian, Scotland

[3] Heriot Watt Univ, Dept Math, Edinburgh, Midlothian, Scotland

[4] Univ Birmingham, Sch Math, Birmingham, W Midlands, England

来源：

KYOTO JOURNAL OF MATHEMATICS | 2020年 / 60卷 / 04期

基金：

欧洲研究理事会;

关键词：

GLOBAL WELL-POSEDNESS; DATA CAUCHY-THEORY; WAVE-EQUATIONS; NORM INFLATION; INITIAL DATA; SCATTERING;

D O I：

10.1215/21562261-2019-0060

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the stochastic nonlinear Schrodinger 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.

引用

页码：1227 / 1243

页数：17

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