3 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
On an area-preserving inverse curvature flow for plane curves
Zezhen Sun, Yuting Wu
In this paper, we study a -type area-preserving non-local flow of convex closed plane curves for any . We show that the flow exists globally, the length of evolving…
math.DG2025
On a non-local area-preserving curve flow
Zezhen Sun, Yuting Wu
In this paper, we study a new area-preserving curvature flow for closed convex planar curves. This flow will decrease the length of the evolving curve and make the curve more and m…