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：
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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.
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页码：303 / 314
页数：11
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