MEAN CURVATURE FLOW WITHOUT SINGULARITIES

被引：0

作者：

Saez, Mariel ^{[1
]}

Schnurer, Oliver C. ^{[2
]}

机构：

[1] Dept Matemat, Santiago, Chile

[2] Univ Konstanz, Fachbereich Math & Stat, D-78457 Constance, Germany

来源：

JOURNAL OF DIFFERENTIAL GEOMETRY | 2014年 / 97卷 / 03期

关键词：

LEVEL SETS; 2-CONVEX HYPERSURFACES; EVOLUTION; MOTION; SPACE; STABILITY; GRAPHS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study graphical mean curvature flow of complete solutions defined on subsets of Euclidean space. We obtain smooth long time existence. The projections of the evolving graphs also solve mean curvature flow. Hence this approach allows us to smoothly flow through singularities by studying graphical mean curvature flow in one additional dimension.

引用

页码：545 / 570

页数：26

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