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arXiv · 0803.1978

Optimal control of unilateral obstacle problem with a source term

Radouen Ghanem
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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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Radouen Ghanem. 2008-03-13. Optimal control of unilateral obstacle problem with a source term. https://arxiv.org/abs/0803.1978

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