Random exponential attractor for cocycle and application to non-autonomous stochastic lattice systems with multiplicative white noise

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:263

Article

Zhou, Shengfan¹ 

[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China

关键词: Random exponential attractor;    Cocycle;    Stochastic lattice system;    Fractal dimension;    Multiplicative white noise;   

DOI  :  10.1016/j.jde.2017.03.044

来源: Elsevier

【 摘 要 】

We first establish some sufficient conditions for constructing a random exponential attractor for a continuous cocycle on a separable Banach space and weighted spaces of infinite sequences. Then we apply our abstract result to study the existence of random exponential attractors for non-autonomous first order dissipative lattice dynamical systems with multiplicative white noise. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free