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dirichlet optimal control

ESAIM: Control, Optimisation and Calculus of Variations (1)

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Penalization of Dirichlet optimal control problems
Eduardo Casas, Mariano Mateos, Jean-Pierre Raymond
Journal:

ESAIM: Control, Optimisation and Calculus of Variations / Volume 15 / Issue 4 / October 2009

Published online by Cambridge University Press:

20 August 2008, pp. 782-809

Print publication:

October 2009
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We apply Robin penalization to Dirichlet optimal control problemsgoverned 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.