Moving surfaces by non-concave curvature functions

被引：0
|
作者：
Ben Andrews
机构：
[1] MSI,
[2] ANU,undefined
来源：
Calculus of Variations and Partial Differential Equations | 2010年 / 39卷
关键词：
Primary 53C44; Secondary 35K55;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A convex surface contracting by a strictly monotone, homogeneous degree one function of its principal curvatures remains smooth until it contracts to a point in finite time, and is asymptotically spherical in shape. No assumptions are made on the concavity of the speed as a function of principal curvatures. We also discuss motion by functions homogeneous of degree greater than 1 in the principal curvatures.
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页码：649 / 657
页数：8
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