Interpolating Between Li-Yau's and Hamilton's Harnack Inequalities on a Surface

Authors

  • Chow Bennett

Keywords:

Harnack inequality;heat equation;parabolic equation;Ricci flow;surface

Abstract

We establish a one-parameter family of Harnack inequalities connecting Li and Yau's differential Harnack inequality for the heat equation to Hamilton's Harnack inequality for the Ricci flow on a 2-dimensional manifold with positive scalar curvature.

Published

1998-11-01

Abstract View

  • 38593

Pdf View

  • 2547

Issue

Section

Articles

How to Cite

Interpolating Between Li-Yau’s and Hamilton’s Harnack Inequalities on a Surface. (1998). Journal of Partial Differential Equations, 11(2), 137-140. https://www.global-sci.com/index.php/jpde/article/view/3880