Sequences of non-local functionals which approximate free-discontinuity problems

被引:13
作者
Cortesani, G [1 ]
机构
[1] SISSA, ISAS, I-34014 Trieste, Italy
关键词
D O I
10.1007/s002050050121
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We prove, by means of a generalized version of the well-known "fundamental estimate", that the limit, in the sense of Gamma-convergence, of a wide class of families of non-local integral functionals is a functional related to a free-discontinuity problem.
引用
收藏
页码:357 / 402
页数:46
相关论文
共 40 条
[1]   Surface tension in Ising systems with Kac potentials [J].
Alberti, G ;
Bellettini, G ;
Cassandro, M ;
Presutti, E .
JOURNAL OF STATISTICAL PHYSICS, 1996, 82 (3-4) :743-796
[2]  
ALBERTI G, UNPUB NONLOCAL ANI 1
[3]  
ALBERTI G, 1995, 9 M PLANCK I MATH NA
[4]  
ALICANDRO R, 1997, 797M SISSA
[5]   APPROXIMATION OF FUNCTIONALS DEPENDING ON JUMPS BY ELLIPTIC FUNCTIONALS VIA GAMMA-CONVERGENCE [J].
AMBROSIO, L ;
TORTORELLI, VM .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1990, 43 (08) :999-1036
[6]  
AMBROSIO L, 1989, B UNIONE MAT ITAL, V3B, P857
[7]  
AMBROSIO L, 1990, J MATH PURE APPL, V69, P285
[8]  
AMBROSIO L, 1990, J MATH PURE APPL, V69, P307
[9]   VARIATIONAL-PROBLEMS IN SBV AND IMAGE SEGMENTATION [J].
AMBROSIO, L .
ACTA APPLICANDAE MATHEMATICAE, 1989, 17 (01) :1-40
[10]   EXISTENCE THEORY FOR A NEW CLASS OF VARIATIONAL-PROBLEMS [J].
AMBROSIO, L .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1990, 111 (04) :291-322