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Penalization of Dirichlet optimal control problems

ESAIM - Control, Optimisation and Calculus of Variations (2009) 15(4) 782-809
DOI: 10.1051/cocv:2008049
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Abstract

We apply Robin penalization to Dirichlet optimal control problems governed by semilinear elliptic equations. Error estimates in terms of the penalization parameter are stated. The results are compared with some previous ones in the literature and are checked by a numerical experiment. A detailed study of the regularity of the solutions of the PDEs is carried out. © 2008 EDP Sciences SMAI.

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Casas, E., Mateos, M., & Raymond, J. P. (2009). Penalization of Dirichlet optimal control problems. ESAIM - Control, Optimisation and Calculus of Variations, 15(4), 782–809. https://doi.org/10.1051/cocv:2008049

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