Regularity and convergence of crystalline motion

被引：20

作者：

Ishii, K ^{[1
]}

Soner, HM

机构：

[1] Kobe Univ Mercantile Marine, Dept Math, Kobe, Hyogo 658, Japan

[2] Carnegie Mellon Univ, Dept Math, Pittsburgh, PA 15213 USA

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1998年 / 30卷 / 01期

关键词：

crystalline motion; motion by mean curvature; viscosity solutions;

D O I：

10.1137/S0036141097317347

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the motion of polygons by crystalline curvature. We show that "smooth" polygon evolves by crystalline curvature "smoothly" and that it shrinks to a point in finite time. We also establish the convergence of crystalline motion to the motion by mean curvature.

引用

页码：19 / 37

页数：19

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