Convex ancient solutions to anisotropic curve shortening flow

被引：0
|
作者：
Bourni, Theodora [1 ]
Richards, Benjamin [1 ]
机构：
[1] Univ Tennessee, Dept Math, 227 Ayres Hall,1403 Circle Dr, Knoxville, TN 37996 USA
来源：
REVISTA MATEMATICA IBEROAMERICANA | 2024年 / 40卷 / 06期
基金：
美国国家科学基金会;
关键词：
curvature flows; ancient solutions; EVOLVING PLANE-CURVES; CURVATURE;
D O I：
10.4171/RMI/1503
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We construct a translating solution to anisotropic curve shortening and show that for a given anisotropic factor g: S 1 I[8C, and a given direction speed, this translator is unique. We then construct an ancient compact solution anisotropic curve shortening flow, and show that this solution, along with the appropriate translating solution, are the unique solutions to anisotropic curve shortening flow that lie in a slab of a given width, and in no smaller slab.
引用
收藏
页码：2311 / 2324
页数：14
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