Harnack estimates for a heat-type equation under the Ricci flow

Reference : Harnack estimates for a heat-type equation under the Ricci flow


	Document type :	Scientific journals : Article
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/29565

Title :	Harnack estimates for a heat-type equation under the Ricci flow
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]
	Zhu, Xiaorui [China Maritime Police Academy]
Publication date :	15-Feb-2016
Journal title :	Journal of Differential Equations
Publisher :	Academic Press
Volume :	260
Issue/season :	4
Pages :	3270-3301
Peer reviewed :	Yes (verified by ORBi^lu)
Audience :	International
ISSN :	0022-0396
e-ISSN :	1090-2732
City :	Amsterdam
Country :	The Netherlands
Keywords :	[en] Nonlinear parabolic equation ; Harnack estimate ; Ricci flow
Abstract :	[en] In this paper, we consider the gradient estimates for a positive solution of the nonlinear parabolic equation ∂tu=Δtu+hup∂tu=Δtu+hup on a Riemannian manifold whose metrics evolve under the Ricci flow. Two Harnack inequalities and other interesting results are obtained.
Permalink :	http://hdl.handle.net/10993/29565
DOI :	10.1016/j.jde.2015.10.024

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