HARNACK INEQUALITY FOR A NONLINEAR PARABOLIC EQUATION UNDER GEOMETRIC FLOW

- Journal title : Bulletin of the Korean Mathematical Society
- Volume 50, Issue 5, 2013, pp.1587-1598
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/BKMS.2013.50.5.1587

Title & Authors

HARNACK INEQUALITY FOR A NONLINEAR PARABOLIC EQUATION UNDER GEOMETRIC FLOW

Zhao, Liang;

Zhao, Liang;

Abstract

In this paper, we obtain some gradient estimates for positive solutions to the following nonlinear parabolic equation under general geometric flow on complete noncompact manifolds, where 0 < < 1 is a real constant and is a function which is in the -variable and in the-variable. As an application, we get an interesting Harnack inequality.

Keywords

parabolic equation;positive solutions;geometric flow;Harnack inequality;

Language

English

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