高正则空间中具有x -椭圆算子的非自治随机抛物方程的Wong-Zakai逼近

IF 0.5 4区数学 Q3 MATHEMATICS

Journal of Mathematical Physics Analysis Geometry Pub Date : 2023-04-01 DOI:10.1063/5.0111876

Lili Gao, Mingyou Huang, Lu Yang

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引用次数: 0

摘要

本文研究了具有x -椭圆算子的非自治随机退化抛物型方程的Wong-Zakai近似的正则性。我们首先建立了具有一般扩散的随机退化抛物方程的回拉随机吸引子。然后，证明了L p(dn)∩H中Wong-Zakai近似方程解的收敛性和随机吸引子的上半连续性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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) ∩ H.

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来源期刊

Journal of Mathematical Physics Analysis Geometry PHYSICS, MATHEMATICAL-

CiteScore

0.70

自引率

20.00%

发文量

审稿时长

>12 weeks

期刊介绍： Journal of Mathematical Physics, Analysis, Geometry (JMPAG) publishes original papers and reviews on the main subjects: mathematical problems of modern physics; complex analysis and its applications; asymptotic problems of differential equations; spectral theory including inverse problems and their applications; geometry in large and differential geometry; functional analysis, theory of representations, and operator algebras including ergodic theory. The Journal aims at a broad readership of actively involved in scientific research and/or teaching at all levels scientists.