Generic regularity of Level Set Flows with spherical singularity
Differential Geometry
2024-03-22 v2 Analysis of PDEs
Dynamical Systems
Abstract
The sphere is well-known as the only generic compact shrinker for mean curvature flow (MCF). In this paper, we characterize the generic dynamics of MCFs with a spherical singularity. In terms of the level set flow formulation of MCF, we establish that generically the arrival time function of level set flow with spherical singularity has at most regularity.
Cite
@article{arxiv.2204.07896,
title = {Generic regularity of Level Set Flows with spherical singularity},
author = {Ao Sun and Jinxin Xue},
journal= {arXiv preprint arXiv:2204.07896},
year = {2024}
}
Comments
17 pages, comments are welcome! To appear in Annals of PDE