Optimal control of bilateral obstacle problems

被引：27

作者：

Bergounioux, M

Lenhart, S

机构：

[1] Univ Orleans, Dept Math, UFR Sci, Lab MAPMO, F-45067 Orleans, France

[2] Univ Tennessee, Dept Math, Knoxville, TN 37996 USA

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2004年 / 43卷 / 01期

关键词：

optimal control; obstacle problem; variational inequalities; semilinear elliptic equations;

D O I：

10.1137/S0363012902416912

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We consider an optimal control problem where the state satisfies a bilateral elliptic variational inequality and the control functions are the upper and lower obstacles. We seek a state that is close to a desired pro. le and the H-2 norms of the obstacles are not too large. Existence results are given and an optimality system is derived. A particular case is studied that needs no compactness assumption, via a monotonicity method.

引用

页码：240 / 255

页数：16

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