盘内凸古自由边界缩短曲线流的分类

IF 1.8 1区数学 Q1 MATHEMATICS

Analysis & PDE Pub Date : 2023-11-11 DOI:10.2140/apde.2023.16.2225

Theodora Bourni, Mat Langford

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引用次数: 0

摘要

利用直接几何方法和对沿水平等分线流动的线性化分析相结合的方法，证明了在圆上有自由边界的圆盘内存在唯一的(绕原点模旋转)凸古缩短曲线流动。这似乎是在自由边界条件下的第一个同类结果。

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Classification of convex ancient free-boundary curve-shortening flows in the disc

Using a combination of direct geometric methods and an analysis of the linearization of the flow about the horizontal bisector, we prove that there exists a unique (modulo rotations about the origin) convex ancient curve-shortening flow in the disc with free boundary on the circle. This appears to be the first result of its kind in the free-boundary setting.

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来源期刊

Analysis & PDE MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

3.80

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： APDE aims to be the leading specialized scholarly publication in mathematical analysis. The full editorial board votes on all articles, accounting for the journal’s exceptionally high standard and ensuring its broad profile.