Abstract : In the paper the support of a Radon measure is selected in an optimal way. The solution of the second order elliptic equation depends on the mesure via the mixed type boundary conditions. The existence of a solution for a class of domain optimization problems is shown. The relaxed formulation of the optimization problems is proposed. The first order necessary optimality conditions are derived.
https://hal.inria.fr/inria-00073903
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Soumis le : mercredi 24 mai 2006 - 14:02:45
Dernière modification le : samedi 17 septembre 2016 - 01:06:49
Document(s) archivé(s) le : lundi 5 avril 2010 - 00:01:21
Antoine Henrot, Werner Horn, Jan Sokolowski. Domain Optimization Problem for Stationary Heat Equation. [Research Report] RR-2788, INRIA. 1996, pp.26. 〈inria-00073903〉
