Relaxation of certain integral functionals depending on strain and chemical composition

被引:6
作者
Ribeiro, Ana Margarida [1 ,2 ]
Zappale, Elvira [3 ]
机构
[1] Univ Nova Lisboa, Fac Ciencias & Tecnol, Dept Matemat, P-2829516 Quinta De Torre, Caparica, Portugal
[2] Univ Nova Lisboa, Fac Ciencias & Tecnol, CMA, P-2829516 Quinta De Torre, Caparica, Portugal
[3] Univ Salerno, DIIn, I-84084 Fisciano, SA, Italy
关键词
Relaxation; Functions of bounded variation; Quasiconvexity; IMAGE DECOMPOSITION; QUASICONVEXITY;
D O I
10.1007/s11401-013-0784-x
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The authors provide a relaxation result in BV x L (q) , 1 a parts per thousand currency sign q < + a as the first step towards the analysis of thermochemical equilibria.
引用
收藏
页码:491 / 514
页数:24
相关论文
共 18 条
[1]   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
[2]  
AMBROSIO L, 1991, J MATH PURE APPL, V70, P269
[3]  
Ambrosio L., 2000, OX MATH M, pxviii, DOI 10.1017/S0024609301309281
[4]   Color image decomposition and restoration [J].
Aujol, Jean-Francois ;
Kang, Sung Ha .
JOURNAL OF VISUAL COMMUNICATION AND IMAGE REPRESENTATION, 2006, 17 (04) :916-928
[5]  
Aujol JF, 2003, LECT NOTES COMPUT SC, V2695, P297
[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]   A-quasiconvexity: Relaxation and homogenization [J].
Braides, A ;
Fonseca, I ;
Leoni, G .
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2000, 5 :539-577
[9]  
Carita G, 2011, J CONVEX ANAL, V18, P1093
[10]  
Dacorogna B., 2008, DIRECT METHODS CALCU, V78, pxii