A relaxation result in BV for integral functionals with discontinuous integrands

被引：17
|
作者：
Amar, Micol
De Cicco, Virginia
Fusco, Nicola
机构：
[1] Dipartimento Metodi & Modelli Matemat, I-00161 Rome, Italy
[2] Dipartimento Matemat & Applicaz Monte St Angelo, I-80126 Naples, Italy
来源：
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS | 2007年 / 13卷 / 02期
关键词：
lower semicontinuity; relaxation; BV-functions; blow-up;
D O I：
10.1051/cocv:2007015
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
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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页码：396 / 412
页数：17
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