A relaxation result in BV for integral functionals with discontinuous integrands

Amar, Micol; Cicco, Virginia De; Fusco, Nicola

doi:10.1051/cocv:2007015

Amar, Micol ; Cicco, Virginia De ; Fusco, Nicola ¹

¹ Dipartimento di Matematica e Applicazioni Monte Sant’Angelo, via Cintia, 80126 Napoli, Italy;

ESAIM: Control, Optimisation and Calculus of Variations, Tome 13 (2007) no. 2, pp. 396-412.

Résumé

We prove a relaxation theorem in BV for a non coercive functional with linear growth. No continuity of the integrand with respect to the spatial variable is assumed.

MR | 1 citation dans Numdam

DOI : 10.1051/cocv:2007015

Classification : 49J45, 26B30
Mots clés : lower semicontinuity, relaxation, BV-functions, blow-up

Affiliations des auteurs :

Amar, Micol ; Cicco, Virginia De ; Fusco, Nicola ¹

¹ Dipartimento di Matematica e Applicazioni Monte Sant’Angelo, via Cintia, 80126 Napoli, Italy;

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     title = {A relaxation result in {BV} for integral functionals with discontinuous integrands},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {396--412},
     publisher = {EDP-Sciences},
     volume = {13},
     number = {2},
     year = {2007},
     doi = {10.1051/cocv:2007015},
     mrnumber = {2306643},
     language = {en},
     url = {http://www.numdam.org/articles/10.1051/cocv:2007015/}
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Amar, Micol; Cicco, Virginia De; Fusco, Nicola. A relaxation result in BV for integral functionals with discontinuous integrands. ESAIM: Control, Optimisation and Calculus of Variations, Tome 13 (2007) no. 2, pp. 396-412. doi : 10.1051/cocv:2007015. http://www.numdam.org/articles/10.1051/cocv:2007015/

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