Gradient estimates for a nonlinear Lichnerowicz equation under general geometric flow on complete noncompact manifolds
type: Item
instance of: scholarly article
title: Gradient estimates for a nonlinear Lichnerowicz equation under general geometric flow on complete noncompact manifolds
zbMATH Open document ID: 1351.58016
author: L. Zhao
author: Shouwen Fang
published in: Pacific Journal of Mathematics
publication date: 2016-10-05T00:00:00Z
reviewed by: Dian K. Palagachev
Mathematics Subject Classification ID: 58J05
Mathematics Subject Classification ID: 58J35
Mathematics Subject Classification ID: 35R01
Mathematics Subject Classification ID: 35K58
zbMATH DE Number: 6632728
zbMATH Keywords: gradient estimates
zbMATH Keywords: geometric flow
zbMATH Keywords: Harnack inequality
MaRDI profile type: Publication
full work available at URL: pjm.2016.285.243
OpenAlex ID: W2528394951
DOI: 10.2140/PJM.2016.285.243
review text: The authors obtain gradient estimates for positive solutions to the semilinear parabolic equation NEWLINE\[NEWLINE \partial_tu=\Delta u+cu^{-\alpha} NEWLINE\]NEWLINE under general geometric flow on complete noncompact manifolds, where \(\alpha>0\) and \(c\) are constants. As application, the corresponding Harnack inequality is given.
description: scientific article; zbMATH DE number 6632728