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Paper details
Number 2 - June 1996
Volume 6 - 1996
Domain optimization problems for parabolic control systems
Samjra El Yacoubi, Jan Sokołowski
Abstract
In the paper, a class of shape optimization problems associated with the optimal location of distributed controls for parabolic systems is considered. The existence of solutions to optimization problems is established using a regularization technique. The first-order optimality conditions are obtained by an application of the material-derivative method. A relaxation method is proposed and the
resulting parametric optimization problems are analysed.
Keywords
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