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arXiv · 0807.0568

Differential Harnack Estimates for Time-dependent Heat Equations with Potentials

Xiaodong Cao·Richard S. Hamilton
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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.

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BibTeXRIS

Xiaodong Cao, Richard S. Hamilton. 2008-07-03. Differential Harnack Estimates for Time-dependent Heat Equations with Potentials. https://arxiv.org/abs/0807.0568

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