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.

引用

页码：1231 / 1237

页数：7

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