Random attractors for a class of stochastic reaction-diffusion equations on RN with multiplicative noise

被引：0

作者：

Li, Bowen ^{[1
]}

Jiang, Yong ^{[1
]}

Li, Xiaojun ^{[1
]}

机构：

[1] Hohai Univ, Sch Sci, Nanjing 210098, Peoples R China

来源：

COMPUTATIONAL AND MATHEMATICAL METHODS | 2019年 / 1卷 / 04期

基金：

中国国家自然科学基金;

关键词：

asymptotic compactness; random attractor; stochastic reaction-diffusion equation; GLOBAL ATTRACTOR;

D O I：

10.1002/cmm4.1044

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：14

共 50 条

[1] Random attractors of reaction-diffusion equations with multiplicative noise in Lp
Li, Jia
Li, Yangrong
Wang, Bin
APPLIED MATHEMATICS AND COMPUTATION, 2010, 215 (09) : 3399 - 3407
[2] Random attractors for stochastic reaction-diffusion equations with multiplicative noise in H01
Wang, Gang
Tang, Yanbin
MATHEMATISCHE NACHRICHTEN, 2014, 287 (14-15) : 1774 - 1791
[3] Regularity of random attractors for fractional stochastic reaction-diffusion equations on Rn
Gu, Anhui
Li, Dingshi
Wang, Bixiang
Yang, Han
JOURNAL OF DIFFERENTIAL EQUATIONS, 2018, 264 (12) : 7094 - 7137
[4] Random attractors for stochastic retarded reaction-diffusion equations with multiplicative white noise on unbounded domains
Jia, Xiaoyao
Ding, Xiaoquan
Gao, Juanjuan
OPEN MATHEMATICS, 2018, 16 : 862 - 884
[5] Stability and random attractors for a reaction-diffusion equation with multiplicative noise
Caraballo, T
Langa, JA
Robinson, JC
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2000, 6 (04) : 875 - 892
[6] H1-random attractors and random equilibria for stochastic reaction-diffusion equations with multiplicative noises
Zhao, Wenqiang
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2013, 18 (10) : 2707 - 2721
[7] H1-random attractors for stochastic reaction-diffusion equations with additive noise
Zhao, Wenqiang
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2013, 84 : 61 - 72
[8] Random attractors for stochastic reaction-diffusion equations on unbounded domains
Bates, Peter W.
Lu, Kening
Wang, Bixiang
JOURNAL OF DIFFERENTIAL EQUATIONS, 2009, 246 (02) : 845 - 869
[9] RANDOM ATTRACTORS OF STOCHASTIC REACTION-DIFFUSION EQUATIONS ON VARIABLE DOMAINS
Crauel, H.
Kloeden, P. E.
Yang, Meihua
STOCHASTICS AND DYNAMICS, 2011, 11 (2-3) : 301 - 314
[10] Attractors in L2(RN) for a class of reaction-diffusion equations
Zhang Yanhong
Zhong Chengkui
Wang Suyun
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (5-6) : 1901 - 1908

← 1 2 3 4 5 →