Bi-spatial and Wong-Zakai approximations dynamics for fractional stochastic reaction-diffusion equations on Rn

被引：0

作者：

Li, Fuzhi ^{[1
]}

Xu, Dongmei ^{[1
]}

Yu, Jiali ^{[2
]}

机构：

[1] Shangrao Normal Univ, Sch Math & Comp Sci, Shangrao 334001, Peoples R China

[2] Dalian Jiaotong Univ, Sch Sci, Dalian 116028, Peoples R China

来源：

BANACH JOURNAL OF MATHEMATICAL ANALYSIS | 2023年 / 17卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Fractional reaction-diffusion equation; Bi-spatial random attractor; Wong-Zakai approximations; Upper semi-continuity; RANDOM ATTRACTORS; PARABOLIC EQUATIONS; MULTIPLICATIVE NOISE; ASYMPTOTIC-BEHAVIOR; DRIVEN; CONVERGENCE; REGULARITY; FINITE;

D O I：

10.1007/s43037-023-00259-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned about the bi-spatial dynamics of the stochastic reaction- diffusion equations driven by a Wong-Zakai approximation process on the entire space Rn. We obtain the existence of pullback random (L2(Rn), L-p(R-n))-attractor and (L-2(R-n), H-s(R-n))-attractor for any p > 2, 0 < s < 1. In addition, we further prove the upper semi-continuity of these attractors of the approximate random equation under the topology of Lp(Rn) and Hs(Rn) as the size of approximation tends to zero.

引用

页数：32

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