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A relaxation result in BV for integral functionals with discontinuous integrands

Published online by Cambridge University Press:  12 May 2007

Micol Amar ,
Virginia De Cicco  and
Nicola Fusco
Micol Amar
Affiliation:
Dipartimento di Metodi e Modelli Matematici, via A. Scarpa 16, 00161 Roma, Italy; amar@dmmm.uniroma1.it; decicco@dmmm.uniroma1.it
Virginia De Cicco
Affiliation:
Dipartimento di Metodi e Modelli Matematici, via A. Scarpa 16, 00161 Roma, Italy; amar@dmmm.uniroma1.it; decicco@dmmm.uniroma1.it
Nicola Fusco
Affiliation:
Dipartimento di Matematica e Applicazioni Monte Sant'Angelo, via Cintia, 80126 Napoli, Italy; n.fusco@unina.it
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Abstract

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.

Keywords

Lower semicontinuityrelaxationBV-functionsblow-up
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 13 , Issue 2 , April 2007 , pp. 396 - 412
Copyright
© EDP Sciences, SMAI, 2007

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