Published by De Gruyter March 29, 2013

Gradient estimates for the p-Laplace heat equation under the Ricci flow

Lin-Feng Wang

https://doi.org/10.1515/advgeom-2012-0038

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Abstract

We establish space-only gradient estimates for positive continuous weak solutions to the p-Laplace heat equation on some complete manifolds evolving under the Ricci flow. As applications, we get Harnack inequalities to compare solutions at different points

Keywords: p-Laplace heat equation; Ricci flow; space-only gradient estimate; Harnack inequality

The author was supported in part by the NSF of China (11171254, 10971066)

Published Online: 2013-03-29

Published in Print: 2013-04

Gradient estimates for the p-Laplace heat equation under the Ricci flow

Abstract

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