Li-Yau-Hamilton estimates and Bakry-Emery-Ricci curvature

Reference : Li-Yau-Hamilton estimates and Bakry-Emery-Ricci curvature


	Document type :	Scientific journals : Article
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/29566

Title :	Li-Yau-Hamilton estimates and Bakry-Emery-Ricci curvature
Language :	English
Author, co-author :	Li, Yi [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit > ; Shanghai Jiao Tong University > Mathematics]
Publication date :	Jan-2015
Journal title :	Nonlinear Analysis: Theory, Methods & Applications
Publisher :	Elsevier Science
Volume :	113
Pages :	1-32
Peer reviewed :	Yes (verified by ORBi^lu)
ISSN :	0362-546X
e-ISSN :	1873-5215
City :	Oxford
Country :	United Kingdom
Keywords :	[en] Cheng–Yau estimate ; Li–Yau estimate ; Hamilton estimate ; Bakry–Emery Ricci curvature
Abstract :	[en] In this paper we derive Cheng–Yau, Li–Yau, Hamilton estimates for Riemannian manifolds with Bakry–Emery–Ricci curvature bounded from below, and also global and local upper bounds, in terms of Bakry–Emery–Ricci curvature, for the Hessian of positive and bounded solutions of the weighted heat equation on a closed Riemannian manifold.
Permalink :	http://hdl.handle.net/10993/29566
DOI :	10.1016/j.na.2014.09.014

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