AN OPTIMAL-DESIGN PROBLEM WITH PERIMETER PENALIZATION

被引：187

作者：

AMBROSIO, L

BUTTAZZO, G

机构：

[1] UNIV ROMA TOR VERGATA,I-00133 ROME,ITALY

[2] DIPARTIMENTO MATEMAT,I-56127 PISA,ITALY

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 1993年 / 1卷 / 01期

关键词：

D O I：

10.1007/BF02163264

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the optimal design problem of finding the minimal energy configuration for a mixture of two conducting materials when a perimeter penalization of the unknown domain is added. We show that in this situation an optimal domain exists and that, under suitable assumptions on the data, it is an open set.

引用

页码：55 / 69

页数：15

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