Fokker-Planck type equations with Sobolev diffusion coefficients and BV drift coefficients

被引：5

作者：

Luo, De Jun ^{[1
]}

机构：

[1] Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2013年 / 29卷 / 02期

基金：

中国国家自然科学基金;

关键词：

DiPerna-Lions theory; Fokker-Planck equation; stochastic differential equation; BV regularity; commutator estimate; TRANSPORT-EQUATION; CAUCHY-PROBLEM; UNIQUENESS; DEGENERATE; EXISTENCE;

D O I：

10.1007/s10114-012-1302-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Combining Le Bris and Lions' arguments with Ambrosio's commutator estimate for BV vector fields, we prove in this paper the existence and uniqueness of solutions to the Fokker-Planck type equations with Sobolev diffusion coefficients and BV drift coefficients.

引用

页码：303 / 314

页数：12

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