Hamilton differential Harnack inequality and W-entropy for Witten Laplacian on Riemannian manifolds

doi:10.1016/j.jfa.2017.09.017

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 应用数学研究所

	Hamilton differential Harnack inequality and W-entropy for Witten Laplacian on Riemannian manifolds
	Li, Songzi 1; Li, Xiang-Dong2,3
刊名	JOURNAL OF FUNCTIONAL ANALYSIS
	2018-06-01
卷号	274 期号:11 页码:3263-3290
关键词	Hamilton differential Harnack inequality W-entropy Super Ricci flows
ISSN号	0022-1236
DOI	10.1016/j.jfa.2017.09.017
英文摘要	In this paper, we prove the Hamilton differential Harnack inequality for positive solutions to the heat equation of the Witten Laplacian on complete Riemannian manifolds with the CD(-K, m)-condition, where m is an element of[n, infinity) and K >= 0 are two constants. Moreover, we introduce the W-entropy and prove the W-entropy formula for the fundamental solution of the Witten Laplacian on complete Riemannian manifolds with the CD(-K, m)-condition and on compact manifolds equipped with (-K, m)-super Ricci flows. (C) 2017 Elsevier Inc. All rights reserved.
资助项目	China Scholarship Council ; Beijing Normal University ; NSFC[11371351] ; Key Laboratory RCSDS, CAS[2008DP173182] ; Hundred Talents Project of AMSS, CAS
WOS研究方向	Mathematics
语种	英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
WOS记录号	WOS:000431095400009
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/30238]
专题	应用数学研究所
通讯作者	Li, Xiang-Dong
作者单位	1.Beijing Normal Univ, Sch Math Sci, 19 Xin Jie Kou Wai Da Jie, Beijing 100875, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, 55 Zhongguancun East Rd, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Li, Songzi,Li, Xiang-Dong. Hamilton differential Harnack inequality and W-entropy for Witten Laplacian on Riemannian manifolds[J]. JOURNAL OF FUNCTIONAL ANALYSIS,2018,274(11):3263-3290.
APA	Li, Songzi,&Li, Xiang-Dong.(2018).Hamilton differential Harnack inequality and W-entropy for Witten Laplacian on Riemannian manifolds.JOURNAL OF FUNCTIONAL ANALYSIS,274(11),3263-3290.
MLA	Li, Songzi,et al."Hamilton differential Harnack inequality and W-entropy for Witten Laplacian on Riemannian manifolds".JOURNAL OF FUNCTIONAL ANALYSIS 274.11(2018):3263-3290.