Stochastic Cahn-Hilliard equations driven by Poisson random measures

被引：0
|
作者：
JIANG YiMing [1 ]
SHI KeHua [1 ]
WANG SuXin [1 ]
机构：
[1] School of Mathematical Sciences and the Key Laboratory of Pure Mathematics and Combinatorics,Ministry of Education, Nankai University
来源：
Science China Mathematics | 2014年 / 57卷 / 12期
基金：
中国国家自然科学基金;
关键词：
Cahn-Hilliard equations; Poisson random measures; Lyapunov function; invariant measure;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
We study a stochastic Cahn-Hilliard equation driven by a Poisson random measure with Neumann boundary conditions. The global weak solution is established for the equation. Moreover, the existence of a Lyapunov function for the equation and an invariant measure associated with the transition semigroup are proved.
引用
收藏
页码：2563 / 2576
页数：14
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