Optimal control of obstacle problems: Existence of Lagrange multipliers

Authors
Bergounioux, M Mignot, F
Citation
M. Bergounioux et F. Mignot, Optimal control of obstacle problems: Existence of Lagrange multipliers, ESAIM CO OP, 5, 2000, pp. 45-70
Citations number
20
Categorie Soggetti
Mathematics,"Engineering Mathematics
Journal title
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS
ISSN journal
12623377 → ACNP
Volume
5
Year of publication
2000
Pages
45 - 70
Database
ISI
SICI code
1262-3377(2000)5:<45:OCOOPE>2.0.ZU;2-8
Abstract
We study first order optimality systems for the control of a system governe d by a variational inequality and deal with Lagrange multipliers: is it pos sible to associate to each point-wise constraint a multiplier to get a "goo d" optimality system? We give positive and negative answers for the finite and infinite dimensional cases. These results are compared with the previou s ones got by penalization or differentiation.