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

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	Fokker-Planck type equations with Sobolev diffusion coefficients and BV drift coefficients
其他题名	Fokker–Planck Type Equations with Sobolev Diffusion Coefficients and BV Drift Coefficients
	Luo De Jun
	2013
发表期刊	ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN	1439-8516
卷号	29 期号:2 页码:303-314
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.
其他摘要	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.
关键词	VECTOR-FIELDS TRANSPORT-EQUATION CAUCHY-PROBLEM DIPERNA-LIONS UNIQUENESS SPACES DEGENERATE EXISTENCE DiPerna-Lions theory Fokker-Planck equation stochastic differential equation BV regularity commutator estimate
收录类别	CSCD
语种	英语
资助项目	[National Natural Science Foundation of China] ; [Key Laboratory of Random Complex Structures and Data Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences]
CSCD记录号	CSCD:4777800
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/53199
专题	应用数学研究所
作者单位	中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Luo De Jun. Fokker-Planck type equations with Sobolev diffusion coefficients and BV drift coefficients[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2013,29(2):303-314.
APA	Luo De Jun.(2013).Fokker-Planck type equations with Sobolev diffusion coefficients and BV drift coefficients.ACTA MATHEMATICA SINICA-ENGLISH SERIES,29(2),303-314.
MLA	Luo De Jun."Fokker-Planck type equations with Sobolev diffusion coefficients and BV drift coefficients".ACTA MATHEMATICA SINICA-ENGLISH SERIES 29.2(2013):303-314.