Lower semicontinuity properties of functionals with free discontinuities

被引：12

作者：

Maddalena, F ^{[1
]}

Solimini, S ^{[1
]}

机构：

[1] Dipartimento Interuniv Matemat, I-70125 Bari, Italy

来源：

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2001年 / 159卷 / 04期

关键词：

D O I：

10.1007/s002050100153

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with functionals with free discontinuities, considered as depending on the set variable. A splitting operation divides the sets in which the functional takes low values in the union of a noise part and a macroscopic part. Then we show lower semicontinuity results on the limit of the macroscopic parts by Hausdorff distance, along minimizing sequences.

引用

页码：273 / 294

页数：22

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