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arxiv: 0807.0568 · v1 · submitted 2008-07-03 · 🧮 math.DG

Differential Harnack Estimates for Time-dependent Heat Equations with Potentials

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keywords heattime-dependentdifferentialequationsharnackpositivepotentialsprove
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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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