Evolving convex curves

被引：160

作者：

Andrews, B ^{[1
]}

机构：

[1] Stanford Univ, Dept Math, Stanford, CA 94305 USA

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 1998年 / 7卷 / 04期

关键词：

D O I：

10.1007/s005260050111

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the behaviour of convex curves undergoing curvature-driven motion. In particular we describe the long-term. behaviour of solutions and properties of limiting shapes, and prove existence of unique solutions from singular or non-strictly convex initial curves, with sharp regularity estimates.

引用

页码：315 / 371

页数：57

共 35 条

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