INTEGRAL IDENTITY AND MEASURE ESTIMATES FOR STATIONARY FOKKER-PLANCK EQUATIONS
文献类型：期刊论文
| 作者 | Huang, Wen1; Ji, Min2,3 ; Liu, Zhenxin4; Yi, Yingfei4,5
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| 刊名 | ANNALS OF PROBABILITY
 |
| 出版日期 | 2015-07-01 |
| 卷号 | 43期号:4页码:1712-1730 |
| 关键词 | Fokker-Planck equation stationary measures measure estimates integral identity level set method |
| ISSN号 | 0091-1798 |
| DOI | 10.1214/14-AOP917 |
| 英文摘要 | We consider a Fokker-Planck equation in a general domain in R-n with L-loc(p) drift term and W-loc(1,p) diffusion term for any p > n. By deriving an integral identity, we give several measure estimates of regular stationary measures in an exterior domain with respect to diffusion and Lyapunov-like or anti-Lyapunov-like functions. These estimates will be useful to problems such as the existence and nonexistence of stationary measures in a general domain as well as the concentration and limit behaviors of stationary measures as diffusion vanishes. |
| 资助项目 | NSFC[11225105] ; NSFC[11271151] ; Fok Ying Tung Education Foundation ; Fundamental Research Funds for the Central Universities[WK0010000014] ; NSFC Innovation Grant[10421101] ; SRF for ROCS, SEM ; Chunmiao fund ; 985 program from Jilin University ; NSF[DMS-07-08331] ; NSF[DMS-11-09201] ; Jilin University |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000356560100005 |
| 出版者 | INST MATHEMATICAL STATISTICS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/20125]  |
| 专题 | 数学所 |
| 通讯作者 | Huang, Wen |
| 作者单位 | 1.Univ Sci & Technol China, Wu Wen Tsun Key Lab Math, Hefei 230026, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 3.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100080, Peoples R China 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. INTEGRAL IDENTITY AND MEASURE ESTIMATES FOR STATIONARY FOKKER-PLANCK EQUATIONS[J]. ANNALS OF PROBABILITY,2015,43(4):1712-1730. |
| APA | Huang, Wen,Ji, Min,Liu, Zhenxin,&Yi, Yingfei.(2015).INTEGRAL IDENTITY AND MEASURE ESTIMATES FOR STATIONARY FOKKER-PLANCK EQUATIONS.ANNALS OF PROBABILITY,43(4),1712-1730. |
| MLA | Huang, Wen,et al."INTEGRAL IDENTITY AND MEASURE ESTIMATES FOR STATIONARY FOKKER-PLANCK EQUATIONS".ANNALS OF PROBABILITY 43.4(2015):1712-1730. |
入库方式： OAI收割
来源：数学与系统科学研究院
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