Open AccessRandom attractors for a class of stochastic reaction‐diffusion equations on R N with multiplicative noise
Author(s) -
Li Bowen,
Jiang Yong,
Li Xiaojun
Publication year - 2019
Publication title -
computational and mathematical methods
Language(s) - English
Resource type - Journals
ISSN - 2577-7408
DOI - 10.1002/cmm4.1044
Subject(s) - multiplicative noise , attractor , mathematics , multiplicative function , statistical physics , class (philosophy) , reaction–diffusion system , diffusion , mathematical analysis , pure mathematics , physics , computer science , thermodynamics , transmission (telecommunications) , telecommunications , signal transfer function , artificial intelligence , analog signal
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.