Log gradient estimates for heat type equations on manifolds

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Abstract

In this short survey paper, we first recall the log gradient estimates for the heat equation on manifolds by Li-Yau, R. Hamilton and later by Perelman in conjunction with the Ricci flow. Then we will discuss some of their applications and extensions focusing on sharp constants and improved curvature conditions.

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Qi S. Zhang (Tue,) studied this question.

synapsesocial.com/papers/68e5e8f6b6db64358757dbc8 https://doi.org/https://doi.org/10.48550/arxiv.2407.20719

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