KMS Of Academy of mathematics and systems sciences, CAS
Ergodicity for a class of semilinear stochastic partial differential equations | |
Dong, Zhao1; Zhang, Rangrang2 | |
2019-12-23 | |
发表期刊 | MATHEMATICAL METHODS IN THE APPLIED SCIENCES |
ISSN | 0170-4214 |
页码 | 20 |
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. |
关键词 | invariant measures irreducibility semilinear partial differential equations space-time white noise strong Feller property |
DOI | 10.1002/mma.5938 |
收录类别 | SCI |
语种 | 英语 |
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 |
WOS类目 | Mathematics, Applied |
WOS记录号 | WOS:000503912600001 |
出版者 | WILEY |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/50496 |
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. |
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