Relaxation of bulk and interfacial energies

被引:26
作者
Barroso, AC
Bouchitte, G
Buttazzo, G
Fonseca, I
机构
[1] UNIV TOULON & VAR,DEPT MATH,F-83957 LA GARDE,FRANCE
[2] UNIV PISA,DIPARTIMENTO MATEMAT,I-56127 PISA,ITALY
关键词
D O I
10.1007/BF02198453
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we obtain an integral representation for the relaxation in BV(Omega; R(P)) of the functional u --> integral(Omega) f(x. del u(x))dx + integral(Sigma(u)) phi(x, [u](x), v(x))dH(N-1)(x) with respect to the BV weak * convergence.
引用
收藏
页码:107 / 173
页数:67
相关论文
共 44 条
[41]   OPTIMAL APPROXIMATIONS BY PIECEWISE SMOOTH FUNCTIONS AND ASSOCIATED VARIATIONAL-PROBLEMS [J].
MUMFORD, D ;
SHAH, J .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1989, 42 (05) :577-685
[42]  
MUMFORD D, 1985, P IIIE C COMP VIS PA
[43]  
Nitzberg M., 1993, Filtering, Segmentation, and Depth
[44]  
Vol'pert A.I., 1969, MATH USSR SB, V17, P225