Revisiting Li-Yau type inequalities on Riemannian manifolds

2021/05/08 by Qian, Bin
#53C21 35K05 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2105.03609

Abstract

Inspired Yau's work (Comm. Anal. Geom., 1994), in this short note we provide a new version of Li-Yau gradient estimate for the linear heat equation, which generalizes some known results and gives new gradient estimates. Also we explain the different known results as different cases here.

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