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Differential Harnack Estimates for Time-Dependent Heat Equations with Potentials

Differential Harnack Estimates for Time-Dependent Heat Equations with Potentials 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Geometric and Functional Analysis Springer Journals

Differential Harnack Estimates for Time-Dependent Heat Equations with Potentials

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References (26)

Publisher
Springer Journals
Copyright
Copyright © 2009 by Birkhäuser Verlag Basel/Switzerland
Subject
Mathematics; Analysis
ISSN
1016-443X
eISSN
1420-8970
DOI
10.1007/s00039-009-0024-4
Publisher site
See Article on Publisher Site

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.

Journal

Geometric and Functional AnalysisSpringer Journals

Published: Oct 24, 2009

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