Gradient estimates for a nonlinear parabolic equation on complete smooth metric measure spaces
type: Item
instance of: scholarly article
title: Gradient estimates for a nonlinear parabolic equation on complete smooth metric measure spaces
zbMATH Open document ID: 1480.53111
author: Fanqi Zeng
published in: Mediterranean Journal of Mathematics
publication date: 2021-08-30T00:00:00Z
review text: In this paper, the authors study gradient estimates for positive smooth solutions to the nonlinear parabolic equation \[(\Delta_\phi-q-\partial_t)u=au(\ln u)^\alpha \] on a smooth metric measure space \((M, g, e^{-\phi} dv)\), where \(q(x, t)\) is a smooth space-time function and \(a,\alpha\) are real constants. Further, using these estimation, the corresponding Harnack inequality is derived.
reviewed by: Chandan Kumar Mondal
Mathematics Subject Classification ID: 53E20
Mathematics Subject Classification ID: 53C23
Mathematics Subject Classification ID: 53C21
zbMATH DE Number: 7388028
zbMATH Keywords: nonlinear parabolic equations
zbMATH Keywords: gradient estimates
zbMATH Keywords: Bakry-Émery Ricci curvature
MaRDI profile type: Publication
full work available at URL: s00009-021-01796-4
OpenAlex ID: W3166185470
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DOI: 10.1007/S00009-021-01796-4
description: scientific article; zbMATH DE number 7388028