On representation of boundary integrals involving the mean curvature for mean-convex domains

被引：0
|
作者：
Giga, Yoshikazu [1 ]
Pisante, Giovanni [1 ]
机构：
[1] Univ Tokyo, Grad Sch Math Sci, Meguro Ku, Komaba 3-8-1, Tokyo 1538914, Japan
来源：
GEOMETRIC PARTIAL DIFFERENTIAL EQUATIONS: PROCEEDINGS | 2013年 / 15卷
基金：
日本学术振兴会;
关键词：
DISTANCE FUNCTION;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Given a mean-convex domain Omega subset of R-n with boundary of class C-2,C-1, we provide a representation formula for a boundary integral of the type integral(partial derivative Omega) f(k(x)) dH(n-1) where k >= 0 is the mean curvature of partial derivative Omega and f is non-increasing and sufficiently regular, in terms of volume integrals and defect measure on the ridge set.
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页码：171 / 187
页数：17
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