Revisiting Li-Yau type inequalities on Riemannian manifolds

Published 8 May 2021 in math.DG | (2105.03609v1)

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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Bin Qian

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