Optimal control of the obstacle in semilinear variational inequalities

被引：12

作者：

Bergounioux, M

Lenhart, S

机构：

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

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

来源：

POSITIVITY | 2004年 / 8卷 / 03期

关键词：

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

D O I：

10.1007/s11117-004-5009-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider an optimal control problem where the state satisfies an obstacle type semilinear variational inequality and the control function is the obstacle. The state is chosen to be close to a desired profile while the obstacle is not too large in H (1)(0) (Omega), and H-2-bounded. We prove that an optimal control exists and give necessary optimality conditions, using approximation techniques.

引用

页码：229 / 242

页数：14

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