Optimal control of unilateral obstacle problem with a source term

Details Optimal control of unilateral obstacle problem with a source term Optimal control of unilateral obstacle problem with a source term

2008-03-13

arxiv.org/abs/0803.1978v1

Mathematics

Optimization and Control

Scientific paper

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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