REGULARITY OF PULLBACK RANDOM ATTRACTORS AND INVARIANT SAMPLE MEASURES FOR NONAUTONOMOUS STOCHASTIC p-LAPLACIAN LATTICE SYSTEMS

被引：0

作者：

Wang, Jintao ^{[1
]}

Jin, Weihao ^{[1
]}

机构：

[1] Wenzhou Univ, Dept Math, Wenzhou 325035, Zhejiang, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2024年 / 29卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Key words and phrases; Stochastic p-Laplacian lattice system; pullback random bi-spatial at-tractors; invariant measures; Liouville type theorem; DYNAMICAL-SYSTEMS; COMPACTNESS; SUFFICIENT; EXISTENCE; DRIVEN;

D O I：

10.3934/dcdsb.2023136

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

. We consider a nonautonomous stochastic p-Laplacian lattice equation with multiplicative noise and a nonlinearity that is not locally Lipschitz. For each q & GE; 1, a pullback (e2, )-attractor is obtained, and the measurability of the pullback attractor in both spaces by more complicated estimates. Then, the time-dependent invariant sample Borel probability measures are constructed and carried by the pullback random attractor. Moreover, the invariant sample measures satisfy a stochastic Liouville type theorem.

引用

页码：1344 / 1379

页数：36

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