On the well-posedness for stochastic fourth-order Schrdinger equations

被引：0
|
作者：
FANG Dao-yuan ZHANG Lin-zi ZHANG Ting Department of Mathematics
机构：
来源：
Applied Mathematics:A Journal of Chinese Universities | 2011年 / 03期
关键词：
Stochastic fourth-order Schrdinger equation; well-posedness; global existence;
D O I：
暂无
中图分类号：
O175.2 [偏微分方程];
学科分类号：
070104 ;
摘要：
The influence of the random perturbations on the fourth-order nonlinear Schrdinger equations,iut+△2u+εu+λ|u| p-1u=ξ,(t,x) ∈R+×Rn,n≥1,ε∈{-1,0,+1},is investigated in this paper.The local well-posedness in the energy space H2(Rn) are proved for p> n+4/n+2,and p≤2#-1 if n≥5.Global existence is also derived for either defocusing or focusing L2-subcritical nonlinearities.
引用
收藏
页码：307 / 318
页数：12
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