Flows associated to adapted vector fields on the Wiener space
文献类型：期刊论文
| 作者 | Gong, Fuzhou1 ; Zhang, Jingxiao2
|
| 刊名 | JOURNAL OF FUNCTIONAL ANALYSIS
 |
| 出版日期 | 2007-12-15 |
| 卷号 | 253期号:2页码:647-674 |
| 关键词 | flow adapted vector fields the modified Picard's iteration method the Wiener space |
| ISSN号 | 0022-1236 |
| DOI | 10.1016/j.jfa.2007.07.015 |
| 英文摘要 | The existence and uniqueness of a flow associated to an adapted vector field xi on the Wiener space with d(tau)xi(alpha) = a(alpha)(beta)d omega(beta)(tau) + b(alpha) d tau are proved by a modified Picard's iteration method, mainly under the conditions of exponential integrability concerning b(alpha) as well as the first-order Malliavin gradients of a(alpha)(beta) and b(alpha). A Newton-Leibnitz type inequality for a kind of Malliavin differentiable functionals is also proved, which is the key point to prove the above result, and has an independent interest. (c) 2007 Elsevier Inc. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000252040300011 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/5068]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Gong, Fuzhou |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China 2.Renmin Univ China, Sch Stat, Beijing 1000872, Peoples R China |
| 推荐引用方式 GB/T 7714 | Gong, Fuzhou,Zhang, Jingxiao. Flows associated to adapted vector fields on the Wiener space[J]. JOURNAL OF FUNCTIONAL ANALYSIS,2007,253(2):647-674. |
| APA | Gong, Fuzhou,&Zhang, Jingxiao.(2007).Flows associated to adapted vector fields on the Wiener space.JOURNAL OF FUNCTIONAL ANALYSIS,253(2),647-674. |
| MLA | Gong, Fuzhou,et al."Flows associated to adapted vector fields on the Wiener space".JOURNAL OF FUNCTIONAL ANALYSIS 253.2(2007):647-674. |
入库方式： OAI收割
来源：数学与系统科学研究院
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