Approximation rates for regularized level set power mean curvature flow

被引：4

作者：

Kroener, Heiko ^{[1
]}

机构：

[1] Univ Hamburg, Fachbereich Math, Bundesstr 55, D-20146 Hamburg, Germany

来源：

PORTUGALIAE MATHEMATICA | 2017年 / 74卷 / 02期

关键词：

Geometric evolution equation; level set mean curvature flow; regularization; rates of convergence; EQUATIONS; EVOLUTION;

D O I：

10.4171/PM/1995

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In [11] the evolution of hypersurfaces in Rn+1 with normal speed equal to a power k > 1 of the mean curvature is considered and the level set solution u of the flow is obtained as the C-0-limit of a sequence u(epsilon) of smooth functions solving the regularized level set equations. We prove a rate for this convergence.

引用

页码：115 / 126

页数：12

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