Relaxation for an optimal design problem with linear growth and perimeter penalization
Published online by Cambridge University Press: 02 April 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.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 145 , Issue 2 , April 2015 , pp. 223 - 268
- Copyright
- Copyright © Royal Society of Edinburgh 2015
- 8
- Cited by