Transport equations and quasi-invariant flows on the Wiener space

被引：20

作者：

Fang, Shizan ^{[1
]}

Luo, Dejun ^{[2
]}

机构：

[1] Univ Bourgogne, IMB, Dijon, France

[2] Chinese Acad Sci, Inst Appl Math, Beijing 100080, Peoples R China

来源：

BULLETIN DES SCIENCES MATHEMATIQUES | 2010年 / 134卷 / 03期

关键词：

Wiener space; Transport equations; Commutator estimate; Quasi-invariant Rows; Malliavin calculus; VECTOR-FIELDS; DIFFERENTIAL-EQUATIONS;

D O I：

10.1016/j.bulsci.2009.01.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We shall investigate on vector fields of low regularity on the Wiener space, with divergence having low exponential integrability. We prove that the vector field generates a flow of quasi-invariant measurable maps with density belonging to the space L log L. An explicit expression for the density is also given. (C) 2009 Elsevier Masson SAS. All rights reserved.

引用

页码：295 / 328

页数：34

共 17 条

[1]

AIRAULT H, 1988, B SCI MATH, V112, P3

[2] Transport equation and Cauchy problem for BV vector fields [J].