Penalization of Dirichlet optimal control problems

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URI: http://hdl.handle.net/10902/2964
ISSN: 1262-3377
ISSN: 1292-8119
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Autoría
Casas Rentería, EduardoAutoridad Unican; Mateos Alberdi, MarianoAutoridad Unican; Raymond, Jean Pierre
Fecha
2009-10
Derechos
© EDP Sciences, SMAI 2008. The original publication is available at www.esaim-cocv.org
Publicado en
ESAIM: Control, Optimisation and Calculus of Variations, 2009, 15(4), 782-809
Editorial
EDP Sciences
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Palabras clave
Dirichlet optimal control
Robin penalization
Regularity of solutions
Resumen/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.
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