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.
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页码:249 / 254
页数:6
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