Regularity of mean curvature flows with Neumann free boundary conditions

被引：6
|
作者：
Koeller, Amos N. [1 ]
机构：
[1] Univ Tubingen, Math Nat Wissensch Fak, D-72076 Tubingen, Germany
来源：
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2012年 / 43卷 / 1-2期
关键词：
53A07; 53C44;
D O I：
10.1007/s00526-011-0411-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider n-dimensional hypersurfaces flowing by the mean curvature flow with Neumann free boundary conditions supported on a smooth support surface. Under assumptions mirroring those for the case of the mean curvature flow without boundary we show that the n-dimensional Hausdorff measure of the singular set is zero.
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页码：265 / 309
页数：45
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