Quasi-sure Flows Associated with Vector Fields of Low Regularity |
| |
Authors: | Siyan XU and Hua ZHANG |
| |
Institution: | 1. Faculty of Sciences, Ningbo University, Ningbo, 315211, Zhejiang, China 2. School of Statistics, Jiangxi University of Finance and Economics, Nanchang, 330013, China
|
| |
Abstract: | The authors construct a solution U t (x) associated with a vector field on the Wiener space for all initial values except in a 1-slim set and obtain the 1-quasi-sure flow property where the vector field is a sum of a skew-adjoint operator not necessarily bounded and a nonlinear part with low regularity, namely one-fold differentiability. Besides, the equivalence of capacities under the transformations of the Wiener space induced by the solutions is obtained. |
| |
Keywords: | Quasi-sure flows Abstract Wiener space Low regularity |
本文献已被 CNKI 维普 SpringerLink 等数据库收录! |
| 点击此处可从《数学年刊B辑(英文版)》浏览原始摘要信息 |
| 点击此处可从《数学年刊B辑(英文版)》下载免费的PDF全文 |
|