Convergence to Equilibrium in Fokker-Planck Equations

doi:10.1007/s10884-018-9705-8

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	Convergence to Equilibrium in Fokker-Planck Equations
	Ji, Min2,3 ; Shen, Zhongwei 1; Yi, Yingfei 1
刊名	JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS
	2019-09-01
卷号	31 期号:3 页码:1591-1615
关键词	Fokker-Planck equation Probability solutions Convergence
ISSN号	1040-7294
DOI	10.1007/s10884-018-9705-8
英文摘要	The present paper is devoted to the investigation of long-time behaviors of global probability solutions of Fokker-Planck equations with rough coefficients. In particular, we prove the convergence of probability solutions under a Lyapunov condition in terms of the Markov semigroup associated to the stationary one. A generalization of earlier results on the existence and uniqueness of global probability solutions is also given.
资助项目	NSFC Innovation Grant[10421101] ; NSFC[11571344] ; University of Alberta ; NSERC[1257749] ; Jilin University
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGER
WOS记录号	WOS:000482091300022
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/35398]
专题	数学所
通讯作者	Shen, Zhongwei
作者单位	1.Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada 2.Univ Chinese Acad Sci, Beijing 100080, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Ji, Min,Shen, Zhongwei,Yi, Yingfei. Convergence to Equilibrium in Fokker-Planck Equations[J]. JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS,2019,31(3):1591-1615.
APA	Ji, Min,Shen, Zhongwei,&Yi, Yingfei.(2019).Convergence to Equilibrium in Fokker-Planck Equations.JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS,31(3),1591-1615.
MLA	Ji, Min,et al."Convergence to Equilibrium in Fokker-Planck Equations".JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS 31.3(2019):1591-1615.