具有球状奇异性的水平集流的一般规律性

IF 2.4 1区数学 Q1 MATHEMATICS Annals of Pde Pub Date : 2024-03-29 DOI:10.1007/s40818-024-00170-3

Ao Sun, Jinxin Xue

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引用次数: 0

摘要

众所周知，球面是平均曲率流（MCF）唯一的通用紧凑收缩器。本文描述了具有球面奇点的 MCF 的一般动力学特性。从 MCF 的水平集流表述来看，我们建立了具有球面奇异性的水平集流的到达时间函数一般最多具有（C^2\）正则性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Generic Regularity of Level Set Flows with Spherical Singularity

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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来源期刊

Annals of Pde Mathematics-Geometry and Topology

CiteScore

3.70

自引率

3.60%

发文量