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
收藏
页码：1344 / 1379
页数：36
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