NONHOMOGENEOUS INVERSE MEAN CURVATURE FLOW IN EUCLIDEAN SPACE

被引：1

作者：

Chen, Li ^{[1
]}

Guo, Xi ^{[1
]}

Tu, Qiang ^{[1
]}

机构：

[1] Hubei Univ, Fac Math & Stat, Hubei Key Lab Appl Math, Wuhan 430062, Peoples R China

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2020年 / 148卷 / 10期

关键词：

Nonhomogeneous inverse mean curvature flows; star-shaped; mean convex; HYPERSURFACES; EXPANSION;

D O I：

10.1090/proc/15099

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider inverse mean curvature flows in Euclidean space with star-shaped initial hypersurface, driven by the nonhomogeneous function of mean curvature. We show that the solutions exist for all time and and converge smoothly to a round sphere after rescaling.

引用

页码：4557 / 4571

页数：15

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