4.2 Article

A relaxation result in BV for integral functionals with discontinuous integrands

Journal

Publisher

EDP SCIENCES S A
DOI: 10.1051/cocv:2007015

Keywords

lower semicontinuity; relaxation; BV-functions; blow-up

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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.

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