1. Relaxation for an optimal design problem with linear growth and a perimeter penalization
- Author
-
Graça Carita and Elvira Zappale
- Subjects
Optimal design ,Relaxation ,General Mathematics ,Order (ring theory) ,perimeters ,Space (mathematics) ,Functional Analysis (math.FA) ,Perimeter ,Mathematics - Functional Analysis ,Mathematics - Analysis of PDEs ,Bounded variation ,optimal design ,FOS: Mathematics ,Applied mathematics ,49J45 ,Limit (mathematics) ,Relaxation (approximation) ,Energy (signal processing) ,Functions of bounded variation ,Mathematics ,Analysis of PDEs (math.AP) - Abstract
The 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, besides this leads to an interaction in the limit energy. Also more general models have been taken into account., 35 pages
- Published
- 2015