Fokker-Planck Type Equations with Sobolev Diffusion Coefficients and BV Drift Coefficients

作     者：De Jun LUO 

作者机构：Institute of Applied MathematicsAcademy of Mathematics and Systems ScienceChinese Academy of Sciences 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2013年第29卷第2期

页      面：303-314页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by National Natural Science Foundation of China(Grant No.11101407) the Key Laboratory of Random Complex Structures and Data Science,Academy of Mathematics and Systems Science,Chinese Academy of Sciences(Grant No.2008DP173182) 

主　　题：DiPerna-Lions theory Fokker-Planck equation stochastic differential equation BV reg-ularity commutator estimate 

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.