The stochastic nonlinear Schrodinger equation in H 1

被引：153
作者：
de Bouard, A
Debussche, A
机构：
[1] Univ Paris 11, CNRS, UMR 8628, F-91405 Orsay, France
[2] ENS Cachan, Bruz, France
来源：
STOCHASTIC ANALYSIS AND APPLICATIONS | 2003年 / 21卷 / 01期
关键词：
nonlinear Schrodinger equations; stochastic partial differential equations; white noise;
D O I：
10.1081/SAP-120017534
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate the local and global existence of solutions in the energy space H-1(R-n) for stochastic nonlinear Schrodinger equations with either additive or multiplicative noise. The noise is assumed to be white in time and correlated in the space variables.
引用
收藏
页码：97 / 126
页数：30
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