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Li-Yau gradient estimates on closed manifolds under Bakry-\'Emery Ricci curvature conditions

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In this paper, motivated by the work of Q.~S.~Zhang in \cite{ZQ}, we derive optimal Li-Yau gradient bounds for positive solutions of the $f$-heat equation on closed manifolds with Bakry-\'Emery Ricci curvature bounded below.

Abstract

In this paper, motivated by the work of Q.~S.~Zhang in \cite{ZQ}, we derive optimal Li-Yau gradient bounds for positive solutions of the $f$-heat equation on closed manifolds with Bakry-\'Emery Ricci curvature bounded below.

참고문헌 (28)

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