International Journal of applied mathematics and computer science

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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

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.