Absolute continuity under flows generated by SDE with measurable drift coefficients
文献类型：期刊论文
| 作者 | Luo, Dejun1,2
|
| 刊名 | STOCHASTIC PROCESSES AND THEIR APPLICATIONS
 |
| 出版日期 | 2011-10-01 |
| 卷号 | 121期号:10页码:2393-2415 |
| 关键词 | Stochastic differential equation Strong solution Density estimate Limit theorem Fokker-Planck equation |
| ISSN号 | 0304-4149 |
| DOI | 10.1016/j.spa.2011.05.012 |
| 英文摘要 | We consider the Ito SDE with a non-degenerate diffusion coefficient and a measurable drift coefficient. Under the condition that the gradient of the diffusion coefficient and the divergences of the diffusion and drift coefficients are exponentially integrable with respect to the Gaussian measure, we show that the stochastic flow leaves the reference measure absolutely continuous. (C) 2011 Elsevier B.V. All rights reserved. |
| 语种 | 英语 |
| WOS记录号 | WOS:000294592000009 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/12578]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Luo, Dejun |
| 作者单位 | 1.Univ Luxembourg, UR Math, L-1359 Luxembourg, Luxembourg 2.Chinese Acad Sci, Key Lab Random Complex Struct & Data Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Luo, Dejun. Absolute continuity under flows generated by SDE with measurable drift coefficients[J]. STOCHASTIC PROCESSES AND THEIR APPLICATIONS,2011,121(10):2393-2415. |
| APA | Luo, Dejun.(2011).Absolute continuity under flows generated by SDE with measurable drift coefficients.STOCHASTIC PROCESSES AND THEIR APPLICATIONS,121(10),2393-2415. |
| MLA | Luo, Dejun."Absolute continuity under flows generated by SDE with measurable drift coefficients".STOCHASTIC PROCESSES AND THEIR APPLICATIONS 121.10(2011):2393-2415. |
入库方式： OAI收割
来源：数学与系统科学研究院
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