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.
Relaxation for an optimal design problem with linear growth and perimeter penalization / Graça, Carita; Zappale, Elvira. - In: PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS. - ISSN 0308-2105. - 145:2(2015), pp. 223-268. [10.1017/S0308210513001479]
Relaxation for an optimal design problem with linear growth and perimeter penalization
ZAPPALE, ELVIRA
2015
Abstract
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.| File | Dimensione | Formato | |
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