WONG-ZAKAI APPROXIMATIONS AND ATTRACTORS FOR FRACTIONAL STOCHASTIC REACTION-DIFFUSION EQUATIONS ON UNBOUNDED DOMAINS

被引：6
|
作者：
Sun, Yaqing [1 ]
Gao, Hongjun [2 ]
机构：
[1] Nanjing Normal Univ, Sch Math Sci, Jiangsu Prov Key Lab NSLSCS, Nanjing 210023, Peoples R China
[2] Nanjing Normal Univ, Sch Math Sci, Inst Math, Nanjing 210023, Peoples R China
来源：
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2020年 / 10卷 / 06期
关键词：
Fractional reaction-diffusion equation; Wong-Zakai approximation; random attractor; upper semi-continuity; white noise; ASYMPTOTIC-BEHAVIOR; DRIVEN; CONVERGENCE; MANIFOLDS; DYNAMICS; NOISE;
D O I：
10.11948/20190215
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the Wong-Zakai approximations induced by a stationary process and the long term behavior of the fractional stochastic reaction-diffusion equation driven by a white noise. Precisely, one of the main ingredients in this paper is to establish the existence and uniqueness of tempered pullback attractors for the Wong-Zakai approximations of fractional stochastic reaction-diffusion equations. Thereafter the upper semicontinuity of attractors for the Wong-Zakai approximation of the equation as delta -> 0 is proved.
引用
收藏
页码：2338 / 2361
页数：24
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