Ergodicity for a class of semilinear stochastic partial differential equations

doi:10.1002/mma.5938

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	Ergodicity for a class of semilinear stochastic partial differential equations
	Dong, Zhao1 ; Zhang, Rangrang 2
	2019-12-23
Source Publication	MATHEMATICAL METHODS IN THE APPLIED SCIENCES
ISSN	0170-4214
Pages	20
Abstract	In this paper, we establish the existence and uniqueness of invariant measures for a class of semilinear stochastic partial differential equations driven by multiplicative noise on a bounded domain. The main results can be applied to SPDEs of various types such as the stochastic Burgers equation and the reaction-diffusion equations perturbed by space-time white noise.
Keyword	invariant measures irreducibility semilinear partial differential equations space-time white noise strong Feller property
DOI	10.1002/mma.5938
Indexed By	SCI
Language	英语
Funding Project	China Postdoctoral Science Foundation[2018M641204] ; Key Laboratory of Random Complex Structures and Data Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences[2008DP173182] ; National Natural Science Foundation of China[11431014] ; National Natural Science Foundation of China[11801032]
WOS Research Area	Mathematics
WOS Subject	Mathematics, Applied
WOS ID	WOS:000503912600001
Publisher	WILEY
Citation statistics
Document Type	期刊论文
Identifier	http://ir.amss.ac.cn/handle/2S8OKBNM/50496
Collection	应用数学研究所
Corresponding Author	Zhang, Rangrang
Affiliation	1.Chinese Acad Sci, RCSDS, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China
Recommended Citation GB/T 7714	Dong, Zhao,Zhang, Rangrang. Ergodicity for a class of semilinear stochastic partial differential equations[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES,2019:20.
APA	Dong, Zhao,&Zhang, Rangrang.(2019).Ergodicity for a class of semilinear stochastic partial differential equations.MATHEMATICAL METHODS IN THE APPLIED SCIENCES,20.
MLA	Dong, Zhao,et al."Ergodicity for a class of semilinear stochastic partial differential equations".MATHEMATICAL METHODS IN THE APPLIED SCIENCES (2019):20.

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