Free-discontinuity problems generated by singular perturbation

被引：15

作者：

Alicandro, R ^{[1
]}

Braides, A ^{[1
]}

Gelli, MS ^{[1
]}

机构：

[1] SISSA, I-34013 Trieste, Italy

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 1998年 / 128卷

关键词：

D O I：

10.1017/S0308210500027256

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that some free discontinuity problems can be obtained as a limit of nonconvex local functionals with a singular perturbation of higher order.

引用

页码：1115 / 1129

页数：15

共 23 条

[1]

Alberti G, 1997, B UNIONE MAT ITAL, V11B, P375

[2] 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

[3]

AMBROSIO L, 1989, B UNIONE MAT ITAL, V3B, P857

[4]

AMBROSIO L, 1997, HOMOGENIZATION APPL, P1

[5]

Bouchitte G, 1996, CR ACAD SCI I-MATH, V323, P1103

[6] Non-local approximation of the Mumford-Shah functional [J].

Braides, A ;

Maso, GD .

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 1997, 5 (04) :293-322

[7] On the non-local approximation of free-discontinuity problems [J].

Braides, A ;

Garroni, A .

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1998, 23 (5-6) :817-829

[8]

COLEMAN BD, 1985, ARCH RATION MECH AN, V90, P219, DOI 10.1007/BF00251732

[9]

CORTESANI G, IN PRESS ARCH RATION

[10]

Dal Maso G., 1993, INTRO GAMMA CONVERGE

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