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.
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页码：335 / 339
页数：5
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