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math.DG2006
A gradient estimate for all positive solutions of the conjugate heat equation under Ricci flow
Shilong Kuang, Qi S. Zhang
We establish a point-wise gradient estimate for positive solutions of the conjugate heat equation. This contrasts to Perelman's point-wise gradient estimate which works mainl…
math.DG2006
Some gradient estimates for the heat equation on domains and for an equation by Perelman
Qi S. Zhang
In the first part, we derive a sharp gradient estimate for the log of Dirichlet heat kernel and Poisson heat kernel on domains, and a sharpened local Li-Yau gradient estimate that…