Wong-Zakai approximations for non-autonomous stochastic parabolic equations with X-elliptic operators in higher regular spaces

被引：0
|
作者：
Gao, Lili [1 ]
Huang, Ming [1 ]
Yang, Lu [1 ]
机构：
[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2023年 / 64卷 / 04期
关键词：
REACTION-DIFFUSION EQUATIONS; ATTRACTORS; CONVERGENCE; MANIFOLDS; EXISTENCE;
D O I：
10.1063/5.0111876
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, we consider the regularity of Wong-Zakai approximations of the non-autonomous stochastic degenerate parabolic equations with X-elliptic operators. We first establish the pullback random attractors for the random degenerate parabolic equations with a general diffusion. Then, we prove the convergence of solutions and the upper semi-continuity of random attractors of the Wong-Zakai approximation equations in L-p(D-N) boolean AND H.
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页数：34
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