On a Heat Type Equation Associated to the Curve Shortening Flow

被引：0
|
作者：
Guo, Hongxin [1 ]
Wu, Xiuna [1 ]
机构：
[1] Wenzhou Univ, Dept Math, Wenzhou 325035, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2025年
关键词：
Curve shortening flow; heat type equation; maximum principle; Bernstein technique; HARNACK; ENTROPY;
D O I：
10.1007/s10114-025-3057-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study a heat type equation associated to the curve shortening flow in the plane. We show the solutions become infinitely many times differentiable for a short time. The method of proof is to use the maximum principle following the Bernstein technique.
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页码：1231 / 1237
页数：7
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