On a Heat Type Equation Associated to the Curve Shortening Flow

IF 0.8 3区数学 Q2 MATHEMATICS

Acta Mathematica Sinica-English Series Pub Date : 2025-01-24 DOI:10.1007/s10114-025-3057-1

Hongxin Guo, Xiuna Wu

引用次数: 0

Abstract

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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关于曲线缩短流的热型方程

本文研究了平面内缩短曲线流动的热型方程。我们证明了解在短时间内变得无穷多倍可微。证明的方法是遵循伯恩斯坦的方法，使用最大值原理。

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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来源期刊

Acta Mathematica Sinica-English Series 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

138

审稿时长

14.5 months

期刊介绍： Acta Mathematica Sinica, established by the Chinese Mathematical Society in 1936, is the first and the best mathematical journal in China. In 1985, Acta Mathematica Sinica is divided into English Series and Chinese Series. The English Series is a monthly journal, publishing significant research papers from all branches of pure and applied mathematics. It provides authoritative reviews of current developments in mathematical research. Contributions are invited from researchers from all over the world.