A coarea-type formula for the relaxation of a generalized elastica functional

Autor:	Masnou, Simon, Nardi, Giacomo
Rok vydání:	2011
Předmět:	Mathematics - Optimization and Control
Druh dokumentu:	Working Paper
Popis:	We consider in R^2 the generalized elastica functional defined, for smooth functions, as the p-elastica energies of the level lines integrated over all levels. Extending the functional to L1, we study its L1-lower semicontinuous envelope and we prove that, for any u in BV, the envelope at u can be represented by a coarea-type formula involving suitable collections of W2,p curves that cover the essential boundaries of the level sets of u. Comment: 34 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1112.2090 Zobrazit plný text záznamu View this record from Arxiv