Optimal control of unilateral obstacle problem with a source term

被引：6

作者：

Ghanem, Radouen ^{[1
,2
]}

机构：

[1] Univ Badji Mokhtar, Dept Math LANOS, Annaba 23000, Algeria

[2] Univ Orleans, F-45067 Orleans 2, France

来源：

POSITIVITY | 2009年 / 13卷 / 02期

关键词：

Optimal control; variational inequality; REGULARITY;

D O I：

10.1007/s11117-008-2241-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider an optimal control problem for the obstacle problem with an elliptic variational inequality. The obstacle function which is the control function is assumed in H-2. We use an approximate technique to introduce a family of problems governed by variational equations. We prove optimal solutions existence and give necessary optimality conditions.

引用

页码：321 / 338

页数：18

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