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

  • Lin-Feng Wang EMAIL logo
Published/Copyright: March 29, 2013
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Advances in Geometry
From the journal Volume 13 Issue 2

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


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

Published Online: 2013-03-29
Published in Print: 2013-04

© 2013 by Walter de Gruyter GmbH & Co.

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