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
收藏
页码：1227 / 1243
页数：17
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