Non-homogeneous fully nonlinear contracting flows of convex hypersurfaces

IF 2.1 2区数学 Q1 MATHEMATICS

Advanced Nonlinear Studies Pub Date : 2024-03-01 DOI:10.1515/ans-2022-0077

Pengfei Guan, Jiuzhou Huang, Jiawei Liu

引用次数: 0

Abstract

We consider a general class of non-homogeneous contracting flows of convex hypersurfaces in R n + 1

${\mathbb{R}}^{n+1}$

, and prove the existence and regularity of the flow before extincting to a point in finite time.

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凸超曲面的非均质完全非线性收缩流

我们考虑了 R n + 1 ${{mathbb{R}}^{n+1}$ 中凸超曲面的一类非均质收缩流，并证明了流在有限时间内消亡到某一点之前的存在性和正则性。

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

Advanced Nonlinear Studies 数学-数学

CiteScore

3.00

自引率

5.60%

发文量

审稿时长

12 months

期刊介绍： Advanced Nonlinear Studies is aimed at publishing papers on nonlinear problems, particulalry those involving Differential Equations, Dynamical Systems, and related areas. It will also publish novel and interesting applications of these areas to problems in engineering and the sciences. Papers submitted to this journal must contain original, timely, and significant results. Articles will generally, but not always, be published in the order when the final copies were received.