# Optimal control of unilateral obstacle problem with a source term

Abstract : We consider an optimal control problem for the obstacle problem with an elliptic variational inequality. The obstacle function which is the control function is assumed in $H^{2}$. We use an approximate technique to introduce a family of problems governed by variational equations. We prove optimal solutions existence and give necessary optimality conditions.
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Cited literature [14 references]

https://hal.archives-ouvertes.fr/hal-00263800
Submitted on : Thursday, March 13, 2008 - 3:09:59 PM
Last modification on : Thursday, May 3, 2018 - 3:32:06 PM
Long-term archiving on: Thursday, May 20, 2010 - 10:01:34 PM

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Opt_Uni_Obst_Pro_Sou_Ter.pdf
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### Identifiers

• HAL Id : hal-00263800, version 1
• ARXIV : 0803.1978

### Citation

Radouen Ghanem. Optimal control of unilateral obstacle problem with a source term. 2008. ⟨hal-00263800⟩

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