Wong-Zakai approximations and attractors for stochastic degenerate parabolic equations on unbounded domains

被引：2

作者：

Miao, Fahe ^{[1
]}

Liu, Hui ^{[1
]}

Xin, Jie ^{[1
,2
]}

机构：

[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China

[2] Shandong Agr Univ, Coll Informat Sci & Engn, Tai An 271018, Shandong, Peoples R China

来源：

STOCHASTICS AND DYNAMICS | 2021年 / 21卷 / 06期

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

Wong-Zakai approximation; degenerate parabolic equation; random attractors; random dynamical systems; PULLBACK ATTRACTORS; CHAOTIC BEHAVIOR; DRIVEN; CONVERGENCE; INTEGRALS; THEOREM;

D O I：

10.1142/S0219493721500337

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

The Wong-Zakai approximations given by a stationary process and attractors for stochastic degenerate parabolic equations are considered in this paper. We first establish the existence and uniqueness of tempered pullback attractors for the Wong-Zakai approximations of stochastic degenerate parabolic equations. We then prove that the attractors of Wong-Zakai approximations converge to the attractor of stochastic degenerate parabolic equations driven by multiplicative white noise.

引用

页数：32

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