Steady States of Fokker-Planck Equations: I. Existence
文献类型：期刊论文
| 作者 | Huang, Wen1; Ji, Min2 ; Liu, Zhenxin4; Yi, Yingfei3,4,5
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| 刊名 | JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2015-12-01 |
| 卷号 | 27期号:3-4页码:721-742 |
| ISSN号 | 1040-7294 |
| 关键词 | Fokker-Planck equation Existence Stationary solution Stationary measure Integral identity Level set method |
| DOI | 10.1007/s10884-015-9454-x |
| 英文摘要 | This is the first paper in a series concerning the study of steady states of a Fokker-Planck equation in a general domain in with drift term and diffusion term for any . In this paper, by using the level set method especially the integral identity which we introduced in Huang et al. (Ann Probab, 2015), we obtain several new existence results of steady states, including stationary solutions and measures, of the Fokker-Planck equation with non-degenerate diffusion under Lyapunov-like conditions. As applications of these results, we give some examples on the noise stabilization of an unstable equilibrium and the existence and uniqueness of steady states subject to boundary degeneracy of diffusion in a bounded domain. |
| 资助项目 | NSFC[11225105] ; NSFC[11271151] ; NSFC Innovation Grant[10421101] ; SRF for ROCS, SEM ; Chunmiao Fund ; 985 Program from Jilin University ; NSF[DMS0708331] ; NSF[DMS1109201] ; NSERC discovery grant ; faculty development grant from University of Alberta ; Jilin University |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| 出版者 | SPRINGER |
| WOS记录号 | WOS:000366644300016 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/21535]  |
| 专题 | 数学所 |
| 通讯作者 | Ji, Min |
| 作者单位 | 1.Chinese Acad Sci, USTC, Wu Wen Tsun Key Lab Math, Hefei 230026, Anhui, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada 4.Jilin Univ, Sch Math, Changchun 130012, Peoples R China 5.Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA |
| 推荐引用方式 GB/T 7714 | Huang, Wen,Ji, Min,Liu, Zhenxin,et al. Steady States of Fokker-Planck Equations: I. Existence[J]. JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS,2015,27(3-4):721-742. |
| APA | Huang, Wen,Ji, Min,Liu, Zhenxin,&Yi, Yingfei.(2015).Steady States of Fokker-Planck Equations: I. Existence.JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS,27(3-4),721-742. |
| MLA | Huang, Wen,et al."Steady States of Fokker-Planck Equations: I. Existence".JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS 27.3-4(2015):721-742. |
入库方式： OAI收割
来源：数学与系统科学研究院
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