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arXiv · 1705.07537

A note on Li-Yau type gradient estimate

Chengjie Yu·Feifei Zhao
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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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Chengjie Yu, Feifei Zhao. 2017-05-22. A note on Li-Yau type gradient estimate. https://arxiv.org/abs/1705.07537

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