A note on Li-Yau type gradient estimate

2017/05/22 by Yu, Chengjie, Zhao, Feifei · 1 citation
#Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1705.07537

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 \citeLX and Qian \citeQi. As an application of the estimate, we also obtained improvements of Davies' Li-Yau type gradient estimate.

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• Some aspects of Cheng-Yau gradient estimates

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