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math.DG2022
Time analyticity for the heat equation under Bakry-Émery Ricci curvature condition
Ling Wu
Inspired by Hongjie Dong and Qi S. Zhang's article \cite{ZQ2}, we find that the analyticity in time for a smooth solution of the heat equation with exponential quadratic growth in…
math.DG2022
Li-Yau gradient estimates on closed manifolds under bakry-emery ricci curvature conditions
Xingyu Song, Ling Wu
In this paper, motivated by the work of Qi S. Zhang in [28], we derive Li-Yau gradient bounds for positive solutions of the f-heat equation on closed manifolds with Bakry-Emery Ric…