Geodesic
A relaxation result in BV for integral functionals with discontinuous integrands
Amar, Micol ; Cicco, Virginia De ; Fusco, Nicola1
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

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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.

DOI : 10.1051/cocv:2007015
Classification : 49J45, 26B30
Keywords: lower semicontinuity, relaxation, BV-functions, blow-up

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},
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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

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