Hamilton's Harnack inequality and the W-entropy formula on complete Riemannian manifolds

doi:10.1016/j.spa.2015.11.002

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	Hamilton's Harnack inequality and the W-entropy formula on complete Riemannian manifolds
	Li, Xiang-Dong
	2016-04-01
发表期刊	STOCHASTIC PROCESSES AND THEIR APPLICATIONS
ISSN	0304-4149
卷号	126 期号:4 页码:1264-1283
摘要	In this paper, we prove Hamilton's Harnack inequality and the gradient estimates of the logarithmic heat kernel for the Witten Laplacian on complete Riemannian manifolds. As applications, we prove the W-entropy formula for the Witten Laplacian on complete Riemannian manifolds, and prove a family of logarithmic Sobolev inequalities on complete Riemannian manifolds with natural geometric condition. (C) 2015 Elsevier B.V. All rights reserved.
关键词	Hamilton's Harnack inequality Gradient estimates Logarithmic heat kernel Witten Laplacian W-entropy formula
DOI	10.1016/j.spa.2015.11.002
语种	英语
资助项目	NSFC[11371351] ; Key Laboratory RCSDS, CAS[2008DP173182] ; Hundred Talents Project of AMSS, CAS
WOS研究方向	Mathematics
WOS类目	Statistics & Probability
WOS记录号	WOS:000371837800012
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/22227
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, 55 Zhongguancun East Rd, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Li, Xiang-Dong. Hamilton's Harnack inequality and the W-entropy formula on complete Riemannian manifolds[J]. STOCHASTIC PROCESSES AND THEIR APPLICATIONS,2016,126(4):1264-1283.
APA	Li, Xiang-Dong.(2016).Hamilton's Harnack inequality and the W-entropy formula on complete Riemannian manifolds.STOCHASTIC PROCESSES AND THEIR APPLICATIONS,126(4),1264-1283.
MLA	Li, Xiang-Dong."Hamilton's Harnack inequality and the W-entropy formula on complete Riemannian manifolds".STOCHASTIC PROCESSES AND THEIR APPLICATIONS 126.4(2016):1264-1283.