SHAPE OPTIMIZATION FOR DIRICHLET PROBLEMS - RELAXED FORMULATION AND OPTIMALITY CONDITIONS

被引：95

作者：

BUTTAZZO, G ^{[1
]}

DALMASO, G ^{[1
]}

机构：

[1] SCUOLA INT SUPER STUDI AVANZATI,I-34014 TRIESTE,ITALY

来源：

APPLIED MATHEMATICS AND OPTIMIZATION | 1991年 / 23卷 / 01期

关键词：

D O I：

10.1007/BF01442391

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study an optimal design problem for the domain of an elliptic equation with Dirichlet boundary conditions. We introduce a relaxed formulation of the problem which always admits a solution, and we prove some necessary conditions for optimality both for the relaxed and for the original problem.

引用

页码：17 / 49

页数：33

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