On the continuity of functionals defined on partitions

被引：3

作者：

Ruf, Matthias ^{[1
]}

机构：

[1] Tech Univ Munich, Zentrum Math M7, Boltzmannstr 3, D-85748 Munich, Germany

来源：

ADVANCES IN CALCULUS OF VARIATIONS | 2018年 / 11卷 / 04期

关键词：

Surface energies; continuity; finite partitions;

D O I：

10.1515/acv-2016-0061

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We characterize the continuity of prototypical functionals acting on finite Caccioppoli partitions and prove that it is equivalent to convergence of the perimeter of the jump set.

引用

页码：335 / 339

页数：5

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