Optimal Control of Obstacle Problems: Existence of Lagrange Multipliers
Maïtine Bergounioux; Fulbert Mignot
ESAIM: Control, Optimisation and Calculus of Variations (2010)
- Volume: 5, page 45-70
- ISSN: 1292-8119
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topBergounioux, Maïtine, and Mignot, Fulbert. "Optimal Control of Obstacle Problems: Existence of Lagrange Multipliers ." ESAIM: Control, Optimisation and Calculus of Variations 5 (2010): 45-70. <http://eudml.org/doc/116555>.
@article{Bergounioux2010,
abstract = {
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 pointwise 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.
},
author = {Bergounioux, Maïtine, Mignot, Fulbert},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Variational inequalities; optimal control;
Lagrange multiplier; obstacle problem.; variational inequalities; first-order optimality systems; Lagrange multipliers},
language = {eng},
month = {3},
pages = {45-70},
publisher = {EDP Sciences},
title = {Optimal Control of Obstacle Problems: Existence of Lagrange Multipliers },
url = {http://eudml.org/doc/116555},
volume = {5},
year = {2010},
}
TY - JOUR
AU - Bergounioux, Maïtine
AU - Mignot, Fulbert
TI - Optimal Control of Obstacle Problems: Existence of Lagrange Multipliers
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2010/3//
PB - EDP Sciences
VL - 5
SP - 45
EP - 70
AB -
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 pointwise 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.
LA - eng
KW - Variational inequalities; optimal control;
Lagrange multiplier; obstacle problem.; variational inequalities; first-order optimality systems; Lagrange multipliers
UR - http://eudml.org/doc/116555
ER -
References
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