Random attractors for a class of stochastic reaction‐diffusion equations on RN with multiplicative noise. Issue 4 (14th June 2019)

• Record Type: Journal Article
• Authors: Li, Bowen; Jiang, Yong; Li, Xiaojun
• Is Part Of: Computational and mathematical methods. Volume 1:Issue 4(2019)
• Page Start: n/a
• Page End: n/a
• Publication Date: 2019-06-14
• Subjects: asymptotic compactness -- random attractor -- stochastic reaction‐diffusion equation; Mathematics -- Data processing -- Periodicals; Numerical analysis -- Periodicals; Numerical analysis; Mathematics -- Data processing; Periodicals; 004.0151
• DOI: 10.1002/cmm4.1044
• Languages: English
• ISSNs: 2577-7408

Abstract

Abstract : This paper is concerned on the existence of random attractors for a class of nonautonomous stochastic reaction‐diffusion equations defined on unbounded domains with multiplicative noise. By using Ornstein‐Uhlenbeck process, we transfer the original equation to a random dynamical system and then get the asymptotic compactness of it, which implies the existence of random attractor.