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Hamilton's Harnack inequality and the W-entropy formula on complete Riemannian manifolds
Li, Xiang-Dong
2016-04-01
Source PublicationSTOCHASTIC PROCESSES AND THEIR APPLICATIONS
ISSN0304-4149
Volume126Issue:4Pages:1264-1283
AbstractIn 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.
KeywordHamilton's Harnack inequality Gradient estimates Logarithmic heat kernel Witten Laplacian W-entropy formula
DOI10.1016/j.spa.2015.11.002
Language英语
Funding ProjectNSFC[11371351] ; Key Laboratory RCSDS, CAS[2008DP173182] ; Hundred Talents Project of AMSS, CAS
WOS Research AreaMathematics
WOS SubjectStatistics & Probability
WOS IDWOS:000371837800012
PublisherELSEVIER SCIENCE BV
Citation statistics
Cited Times:11[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/22227
Collection应用数学研究所
AffiliationChinese Acad Sci, Acad Math & Syst Sci, 55 Zhongguancun East Rd, Beijing 100190, Peoples R China
Recommended Citation
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.
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