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

被引：0

作者：

De Jun Luo

机构：

[1] Chinese Academy of Sciences,Institute of Applied Mathematics, Academy of Mathematics and Systems Science

来源：

Acta Mathematica Sinica, English Series | 2013年 / 29卷

关键词：

DiPerna-Lions theory; Fokker-Planck equation; stochastic differential equation; BV regularity; commutator estimate; 35K15; 60H10;

D O I：

暂无

中图分类号：

学科分类号：

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：11

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