MOTION OF LEVEL SETS BY MEAN-CURVATURE .1.

被引：806

作者：

EVANS, LC

SPRUCK, J

机构：

[1] UNIV CALIF BERKELEY,BERKELEY,CA 94720

[2] UNIV MASSACHUSETTS,AMHERST,MA 01003

来源：

JOURNAL OF DIFFERENTIAL GEOMETRY | 1991年 / 33卷 / 03期

关键词：

D O I：

10.4310/jdg/1214446559

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct a unique weak solution of the nonlinear PDE which asserts each level set evolves in time according to its mean curvature. This weak solution allows us then to define for any compact set GAMMA-0 a unique generalized motion by mean curvature, existing for all time. We investigate the various geometric properties and pathologies of this evolution.

引用

页码：635 / 681

页数：47

共 37 条

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