Random attractors for a class of stochastic reaction-diffusion equations on RN with multiplicative noise

被引：0
|
作者：
Li, Bowen [1 ]
Jiang, Yong [1 ]
Li, Xiaojun [1 ]
机构：
[1] Hohai Univ, Sch Sci, Nanjing 210098, Peoples R China
来源：
COMPUTATIONAL AND MATHEMATICAL METHODS | 2019年 / 1卷 / 04期
基金：
中国国家自然科学基金;
关键词：
asymptotic compactness; random attractor; stochastic reaction-diffusion equation; GLOBAL ATTRACTOR;
D O I：
10.1002/cmm4.1044
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned on the existence of random attractors for a class of nonautonomous stochastic reaction-diffusion equations defined on unbounded domains with multiplicative noise. By using Ornstein-Uhlenbeck process, we transfer the original equation to a random dynamical system and then get the asymptotic compactness of it, which implies the existence of random attractor.
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页数：14
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