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math.DG2026
Dynamical stability of various convex graphical translators
Junyoung Park
In the first part of the paper, we prove the existence of longtime solution to mean curvature flow starting from a graph of a continuous function defined over a slab. Then, we esta…
math.DG2025
Generalized Harnack Inequality for Mean Curvature Flow and Ancient Solutions
Junyoung Park
The goal of this paper is to relax convexity assumption on some classical results in mean curvature flow. In the first half of the paper, we prove a generalized version of Hamilton…