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.

引用

页数：34

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