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Ergodicity for a class of semilinear stochastic partial differential equations

文献类型：期刊论文

作者Dong, Zhao1; Zhang, Rangrang2
刊名MATHEMATICAL METHODS IN THE APPLIED SCIENCES
出版日期2019-12-23
页码20
关键词invariant measures irreducibility semilinear partial differential equations space-time white noise strong Feller property
ISSN号0170-4214
DOI10.1002/mma.5938
英文摘要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.
资助项目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研究方向Mathematics
语种英语
WOS记录号WOS:000503912600001
出版者WILEY
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/50495]  
专题应用数学研究所
通讯作者Zhang, Rangrang
作者单位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
推荐引用方式
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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