2 papers
math.AP2025
Backward Harnack inequality and Hamilton estimates for heat type equations
Juanling Lu, Yuting Wu, Qi S. Zhang
Based on gradient estimates for the heat equation by Hamilton, we discover a backward in time Harnack inequality for positive solutions on compact manifolds without further restric…
math.DG2025
Gradient estimates and parabolic frequency monotonicity for positive solutions of the heat equation under generalized Ricci flow
Juanling Lu, Yu Zheng
In this paper, we establish Li-Yau-type and Hamilton-type estimates for positive solutions to the heat equation associated with the generalized Ricci flow, under a less stringent c…