Optimal control of obstacle problems: Existence of Lagrange multipliers

被引：22
作者：
Bergounioux, M
Mignot, F
机构：
[1] Univ Orleans, Dept Math, UMR 6628, F-45067 Orleans 2, France
[2] Univ Paris Sud, Math Lab, F-91405 Orsay, France
来源：
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS | 2000年 / 5卷
关键词：
variational inequalities; optimal control; Lagrange multiplier; obstacle problem;
D O I：
10.1051/cocv:2000101
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 study first order optimality systems for the control of a system governed by a variational inequality and deal with Lagrange multipliers: is it possible to associate to each point-wise constraint a multiplier to get a "good" optimality system? We give positive and negative answers for the finite and infinite dimensional cases. These results are compared with the previous ones got by penalization or differentiation.
引用
收藏
页码：45 / 70
页数：26
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