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.
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页数：32
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