2 papers
math.DG2024
An improved Hamilton matrix estimates for the heat equation
Lang Qin, Qi S. Zhang
In this paper, we remove the assumption on the gradient of the Ricci curvature in Hamilton's matrix Harnack estimate for the heat equation on all closed manifolds, answering a ques…
math.DG2024
Log gradient estimates for heat type equations on manifolds
Qi S. Zhang
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…