# Shape Optimization Problem for Heat Equation

Abstract : In this paper the support of a Radon measure is selected in an optimal way. The solution of the parabolic 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. We also investigate the behaviour of the optimal solution for some time $T$, when $T\to\infty$ and we prove that it converges to the optimal solution of the stationary problem. The first order necessary optimality conditions are derived.
Keywords :
Type de document :
Rapport
[Research Report] RR-3185, INRIA. 1997, pp.23
Domaine :
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https://hal.inria.fr/inria-00073504
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Soumis le : mercredi 24 mai 2006 - 13:04:49
Dernière modification le : samedi 17 septembre 2016 - 01:06:51
Document(s) archivé(s) le : dimanche 4 avril 2010 - 23:48:26

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• HAL Id : inria-00073504, version 1

### Citation

Antoine Henrot, Jan Sokolowski. Shape Optimization Problem for Heat Equation. [Research Report] RR-3185, INRIA. 1997, pp.23. 〈inria-00073504〉

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