Relaxation for an optimal design problem with linear growth and perimeter penalization

被引：6

作者：

Carita, Graca ^{[1
]}

Zappale, Elvira ^{[2
]}

机构：

[1] Univ Evora, Dept Matemat, Ctr Invest Matemat & Aplicacoes, P-7000671 Evora, Portugal

[2] Univ Salerno, Dipartimento Ingn Ind, I-84084 Salerno, Italy

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2015年 / 145卷 / 02期

关键词：

GLOBAL METHOD; FUNCTIONALS; SEMICONTINUITY; INTEGRANDS; EXISTENCE; BULK;

D O I：

10.1017/S0308210513001479

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to the relaxation and integral representation in the space of functions of bounded variation for an integral energy arising from optimal design problems. The presence of a perimeter penalization is also considered in order to avoid non-existence of admissible solutions and, in addition, this leads to an interaction in the limit energy. More general models have also been taken into account.

引用

页码：223 / 268

页数：46

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