The calibration method for the Mumford-Shah functional

被引：8

作者：

Alberti, G

Bouchitté, G

Dal Maso, G

机构：

[1] Dipartimento Matemat, I-56127 Pisa, Italy

[2] Univ Toulon & Var, F-83957 La Garde, France

[3] SISSA, I-34014 Trieste, Italy

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1999年 / 329卷 / 03期

关键词：

D O I：

10.1016/S0764-4442(00)88602-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this Note we adapt the calibration method to functionals of Mumford-Shah type, and provide a criterion (Theorem I) to verify that a given function is energy minimizing. Among other applications, we use this criterion to show that certain triple-junction configurations are minimizing (Example 3). (C) Academie des Sciences/Elsevier, Paris.

引用

页码：249 / 254

页数：6

共 8 条

[1]

ALBERTI G, UNPUB CALIBRATION ME

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