INTEGRAL REPRESENTATION RESULTS IN BV x Lp

被引:1
作者
Carita, Graca [1 ]
Zappale, Elvira [2 ]
机构
[1] Univ Evora, Dept Matemat, CIMA UE, Rua Romao Ramalho 59, P-7000671 Evora, Portugal
[2] Univ Salerno, DIIn, Via Giovanni Paolo 2 132, I-84084 Fisciano, SA, Italy
关键词
Relaxation; convexity-quasiconvexity; functions of bounded variation; TOTAL VARIATION MINIMIZATION; RELAXATION; FUNCTIONALS; SEMICONTINUITY; DECOMPOSITION; STRAIN;
D O I
10.1051/cocv/2016065
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Integral representation results are obtained for the relaxation of some classes of energy functionals depending on two vector fields with different behaviors, which may appear in the context of image decomposition and thermochemical equilibrium problems.
引用
收藏
页码:1555 / 1599
页数:45
相关论文
共 27 条
[1]   SEMICONTINUITY PROBLEMS IN THE CALCULUS OF VARIATIONS [J].
ACERBI, E ;
FUSCO, N .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1984, 86 (02) :125-145
[2]   RANK ONE PROPERTY FOR DERIVATIVES OF FUNCTIONS WITH BOUNDED VARIATION [J].
ALBERTI, G .
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1993, 123 :239-274
[3]   ON THE RELAXATION IN BV(OMEGA R(M)) OF QUASI-CONVEX INTEGRALS [J].
AMBROSIO, L ;
DALMASO, G .
JOURNAL OF FUNCTIONAL ANALYSIS, 1992, 109 (01) :76-97
[4]  
AMBROSIO L, 1991, J MATH PURE APPL, V70, P269
[5]  
Ambrosio L., 2000, OX MATH M, pxviii, DOI [10.1017/S0024609301309281, 10.1093/oso/9780198502456.001.0001]
[6]   Image decomposition into a bounded variation component and an oscillating component [J].
Aujol, JF ;
Aubert, G ;
Blanc-Féraud, L ;
Chambolle, A .
JOURNAL OF MATHEMATICAL IMAGING AND VISION, 2005, 22 (01) :71-88
[7]   Dimensional reduction for energies with linear growth involving the bending moment [J].
Babadjian, Jean-Francois ;
Zappale, Elvira ;
Zorgati, Hamdi .
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2008, 90 (06) :520-549
[8]  
BALDO S, 1990, ANN I H POINCARE-AN, V7, P67
[9]  
Ball J., ARXIV13125156
[10]   ANISOTROPIC SINGULAR PERTURBATIONS - THE VECTORIAL CASE [J].
BARROSO, AC ;
FONSECA, I .
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1994, 124 :527-571