On the variational approximation of free-discontinuity problems in the vectorial case

被引：42

作者：

Focardi, M ^{[1
]}

机构：

[1] Scuola Normale Super Pisa, I-56126 Pisa, Italy

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2001年 / 11卷 / 04期

关键词：

D O I：

10.1142/S0218202501001045

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We provide a variational approximation for quasiconvex energies defined on vector valued special functions with bounded variation. We extend the Ambrosio-Tortorelli's construction to the vectorial case.

引用

页码：663 / 684

页数：22

共 35 条

[1]

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

[2]

ALBERTI G, 1998, QUADERNI DIPARTIMENT, V3

[3] Free-discontinuity problems generated by singular perturbation [J].

Alicandro, R ;

Braides, A ;

Gelli, MS .

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1998, 128 :1115-1129

[4]

Alicandro R., 1999, INTERFACE FREE BOUND, V1, P17, DOI DOI 10.4171/IFB/2

[5]

ALICANDRO R, IN PRESS P ROY SOC E

[6] 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

[7]

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

[8]

AMBROSIO L, 1995, CALC VAR PARTIAL DIF, V3, P127

[9]

AMBROSIO L, 1992, B UNIONE MAT ITAL, V6B, P105

[10] EXISTENCE THEORY FOR A NEW CLASS OF VARIATIONAL-PROBLEMS [J].

AMBROSIO, L .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1990, 111 (04) :291-322

← 1 2 3 4 →