In this paper we investigate optimal control problems governed by elliptic variational inequalities with additional state-constraints. We present a relaxed formulation for the problem. With penalization methods and approximation techniques we give qualification conditions to get first order optimality conditions.
Publié le : 1998-07-05
Classification:
Optimality Conditions,
State and Control Constrained Optimal Control Problems,
Variational Inequalities,
49J20, 49M29,
[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]
@article{hal-00022987,
author = {Bergounioux, Ma\"\i tine},
title = {Optimal Control of Abstract Elliptic Variational Inequalities with State Constraints},
journal = {HAL},
volume = {1998},
number = {0},
year = {1998},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00022987}
}
Bergounioux, Maïtine. Optimal Control of Abstract Elliptic Variational Inequalities with State Constraints. HAL, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/hal-00022987/