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.
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页码：223 / 268
页数：46
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