球中自由边界超曲面的Guan–Li型平均曲率流

IF 0.7 4区数学 Q2 MATHEMATICS Communications in Analysis and Geometry Pub Date : 2019-10-16 DOI:10.4310/cag.2022.v30.n9.a8

Guofang Wang, C. Xia

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引用次数: 14

摘要

本文介绍了球中自由边界超曲面的一个关李型保体积平均曲率流。我们给出了球中星形自由边界超曲面的概念，并证明了在初始数据为星形的情况下，关李型平均曲率流具有长时间存在性并收敛于自由边界球帽。

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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Guan–Li type mean curvature flow for free boundary hypersurfaces in a ball

In this paper we introduce a Guan-Li type volume preserving mean curvature flow for free boundary hypersurfaces in a ball. We give a concept of star-shaped free boundary hypersurfaces in a ball and show that the Guan-Li type mean curvature flow has long time existence and converges to a free boundary spherical cap, provided the initial data is star-shaped.

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来源期刊

Communications in Analysis and Geometry 数学-数学

CiteScore

1.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Publishes high-quality papers on subjects related to classical analysis, partial differential equations, algebraic geometry, differential geometry, and topology.