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Ergodicity for a class of semilinear stochastic partial differential equations
Dong, Zhao1; Zhang, Rangrang2
2019-12-23
Source PublicationMATHEMATICAL METHODS IN THE APPLIED SCIENCES
ISSN0170-4214
Pages20
AbstractIn 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.
Keywordinvariant measures irreducibility semilinear partial differential equations space-time white noise strong Feller property
DOI10.1002/mma.5938
Indexed BySCI
Language英语
Funding ProjectChina 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 AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000503912600001
PublisherWILEY
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/50496
Collection应用数学研究所
Corresponding AuthorZhang, Rangrang
Affiliation1.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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