Generic regularity of Level Set Flows with spherical singularity

Ao Sun; Jinxin Xue

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arXiv · 2204.07896

Generic regularity of Level Set Flows with spherical singularity

Ao Sun·Jinxin Xue

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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 $C^2$ regularity.

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BibTeX RIS

Ao Sun, Jinxin Xue. 2022-04-17. Generic regularity of Level Set Flows with spherical singularity. https://arxiv.org/abs/2204.07896

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