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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The research of the first author was partially supported by the Jeffrey Sean Lehman Fund at Cornell University.
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Cao, X., Hamilton, R.S. Differential Harnack Estimates for Time-Dependent Heat Equations with Potentials. Geom. Funct. Anal. 19, 989–1000 (2009). https://doi.org/10.1007/s00039-009-0024-4
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DOI: https://doi.org/10.1007/s00039-009-0024-4