Differential Harnack Estimates for Time-dependent Heat Equations with Potentials
Differential Geometry
2008-07-04 v1
Abstract
In this paper, we prove a differential Harnack inequality for positive solutions of time-dependent heat equations with potentials. We also prove a gradient estimate for the positive solution of the time-dependent heat equation.
Keywords
Cite
@article{arxiv.0807.0568,
title = {Differential Harnack Estimates for Time-dependent Heat Equations with Potentials},
author = {Xiaodong Cao and Richard S. Hamilton},
journal= {arXiv preprint arXiv:0807.0568},
year = {2008}
}
Comments
14 pages