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.
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收藏
页码：240 / 255
页数：16
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