A note on Li-Yau type gradient estimate

Published 22 May 2017 in math.DG and math.AP | (1705.07537v3)

Abstract: In this paper, we obtain Li-Yau type gradient estimates with time dependent parameter for positive solutions of the heat equation that are different with the estimates by Li-Xu \cite{LX} and Qian \cite{Qi}. As an application of the estimate, we also obtained improvements of Davies' Li-Yau type gradient estimate.

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