On the Dirichlet boundary control of the heat equation with a final observation Part I: A space-time mixed formulation and penalization
Résumé
We are interested in the optimal control problem of the heat equation where the quadratic cost functional involves a final observation and the control variable is a Dirichlet boundary condition. We first prove that this problem is well-posed. Next, we check its equivalence with a fixed point problem for a space-time mixed system of parabolic equations. Finally, we introduce a Robin penalization on the Dirichlet boundary control for the mixed problem and analyze the convergence when the penalty parameter tends to zero.
Domaines
Analyse numérique [cs.NA]
Origine : Fichiers produits par l'(les) auteur(s)
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