PULLBACK ATTRACTOR IN H1 FOR NONAUTONOMOUS STOCHASTIC REACTION-DIFFUSION EQUATIONS ON Rn

被引：1
|
作者：
Liu, Linfang [1 ]
Fu, Xianlong [1 ]
You, Yuncheng [2 ]
机构：
[1] East China Normal Univ, Dept Math, Shanghai Key Lab PMMP, Shanghai 200241, Peoples R China
[2] Univ S Florida, Dept Math & Stat, Tampa, FL 33620 USA
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2017年 / 22卷 / 10期
关键词：
Pullback random attractor; stochastic reaction-diffusion equation; pullback asymptotic compactness; pullback flattening property; GLOBAL ATTRACTORS;
D O I：
10.3934/dcdsb.2017143
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study the asymptotic dynamics of the weak solutions of nonautonomous stochastic reaction-diffusion equations driven by a time-dependent forcing term and the multiplicative noise. By conducting the uniform estimates we show that the cocycle generated by this SRDE has a pull-back (L-2, H-1) absorbing set and it is pullback asymptotically compact through the pullback flattening approach. The existence of a pullback (L-2, H-1) random attractor for this random dynamical system in space H-1(R-n) is proved.
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页码：3629 / 3651
页数：23
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