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IMA Journal of Mathematical Control and Information Advance Access originally published online on October 24, 2005
IMA Journal of Mathematical Control and Information 2006 23(3):325-334; doi:10.1093/imamci/dni061
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© The author 2005. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

Optimal control of the obstacle problem: optimality conditions

Khalid Ait Hadi**

Département de Mathématiques, Faculté des sciences, Université Cadi Ayyad, BP 2390, Marrakech, Morocco

** E-mail: k.aithadi{at}ucam.ac.ma

In this paper, we investigate optimal control problem governed by variational inequality of the obstacle type. Existence of solution for the problem is proved and we also show how to obtain optimality conditions for a penalized problem issued from the original one.

Keywords: optimal control; variational inequalities; optimality conditions; obstacle problem.

Received on 25 March 2004. accepted on 15 September 2004.


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