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
收藏
页码：4557 / 4571
页数：15
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