| Convergence to Equilibrium in Fokker-Planck Equations | |
Ji, Min1,2 ; Shen, Zhongwei3; Yi, Yingfei3
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| 2019-09-01 | |
| 发表期刊 | JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS
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| ISSN | 1040-7294 |
| 卷号 | 31期号:3页码:1591-1615 |
| 摘要 | The present paper is devoted to the investigation of long-time behaviors of global probability solutions of Fokker-Planck equations with rough coefficients. In particular, we prove the convergence of probability solutions under a Lyapunov condition in terms of the Markov semigroup associated to the stationary one. A generalization of earlier results on the existence and uniqueness of global probability solutions is also given. |
| 关键词 | Fokker-Planck equation Probability solutions Convergence |
| DOI | 10.1007/s10884-018-9705-8 |
| 语种 | 英语 |
| 资助项目 | NSFC Innovation Grant[10421101] ; NSFC[11571344] ; University of Alberta ; NSERC[1257749] ; Jilin University |
| WOS研究方向 | Mathematics |
| WOS类目 | Mathematics, Applied ; Mathematics |
| WOS记录号 | WOS:000482091300022 |
| 出版者 | SPRINGER |
| 引用统计 | |
| 文献类型 | 期刊论文 |
| 条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/35399 |
| 专题 | 数学所 |
| 通讯作者 | Shen, Zhongwei |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100080, Peoples R China 3.Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada |
| 推荐引用方式 GB/T 7714 | Ji, Min,Shen, Zhongwei,Yi, Yingfei. Convergence to Equilibrium in Fokker-Planck Equations[J]. JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS,2019,31(3):1591-1615. |
| APA | Ji, Min,Shen, Zhongwei,&Yi, Yingfei.(2019).Convergence to Equilibrium in Fokker-Planck Equations.JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS,31(3),1591-1615. |
| MLA | Ji, Min,et al."Convergence to Equilibrium in Fokker-Planck Equations".JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS 31.3(2019):1591-1615. |
| 条目包含的文件 | 条目无相关文件。 | |||||
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