Perelman's W-entropy for the Fokker-Planck equation over complete Riemannian manifolds

doi:10.1016/j.bulsci.2011.05.003

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	Perelman's W-entropy for the Fokker-Planck equation over complete Riemannian manifolds
	Li, Xiang-Dong
	2011-09-01
发表期刊	BULLETIN DES SCIENCES MATHEMATIQUES
ISSN	0007-4497
卷号	135 期号:6-7 页码:871-882
摘要	We establish a monotonicity theorem and a rigidity theorem for the Perelman W-entropy of the Fokker-Planck equation on complete Riemannian manifolds with non-negative m-dimensional Bakry-Emery Ricci curvature. Moreover, we give a probabilistic and kinetic interpretation of the W-entropy for the Fokker-Planck equation on complete Riemannian manifolds. (C) 2011 Elsevier Masson SAS. All rights reserved.
DOI	10.1016/j.bulsci.2011.05.003
语种	英语
资助项目	NSFC[10971032] ; Key Laboratory RCSDS, CAS[2008DP173182] ; AMSS, CAS
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000296173300018
出版者	GAUTHIER-VILLARS/EDITIONS ELSEVIER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/13026
专题	应用数学研究所
通讯作者	Li, Xiang-Dong
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Li, Xiang-Dong. Perelman's W-entropy for the Fokker-Planck equation over complete Riemannian manifolds[J]. BULLETIN DES SCIENCES MATHEMATIQUES,2011,135(6-7):871-882.
APA	Li, Xiang-Dong.(2011).Perelman's W-entropy for the Fokker-Planck equation over complete Riemannian manifolds.BULLETIN DES SCIENCES MATHEMATIQUES,135(6-7),871-882.
MLA	Li, Xiang-Dong."Perelman's W-entropy for the Fokker-Planck equation over complete Riemannian manifolds".BULLETIN DES SCIENCES MATHEMATIQUES 135.6-7(2011):871-882.