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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.
@article{COCV_2009__15_4_782_0,
author = {Casas, Eduardo and Mateos, Mariano and Raymond, Jean-Pierre},
title = {Penalization of {Dirichlet} optimal control problems},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
pages = {782--809},
publisher = {EDP-Sciences},
volume = {15},
number = {4},
year = {2009},
doi = {10.1051/cocv:2008049},
mrnumber = {2567245},
zbl = {1175.49027},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv:2008049/}
}
TY - JOUR AU - Casas, Eduardo AU - Mateos, Mariano AU - Raymond, Jean-Pierre TI - Penalization of Dirichlet optimal control problems JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2009 SP - 782 EP - 809 VL - 15 IS - 4 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/articles/10.1051/cocv:2008049/ DO - 10.1051/cocv:2008049 LA - en ID - COCV_2009__15_4_782_0 ER -
%0 Journal Article %A Casas, Eduardo %A Mateos, Mariano %A Raymond, Jean-Pierre %T Penalization of Dirichlet optimal control problems %J ESAIM: Control, Optimisation and Calculus of Variations %D 2009 %P 782-809 %V 15 %N 4 %I EDP-Sciences %U http://geodesic.mathdoc.fr/articles/10.1051/cocv:2008049/ %R 10.1051/cocv:2008049 %G en %F COCV_2009__15_4_782_0
Casas, Eduardo; Mateos, Mariano; Raymond, Jean-Pierre. Penalization of Dirichlet optimal control problems. ESAIM: Control, Optimisation and Calculus of Variations, Tome 15 (2009) no. 4, pp. 782-809. doi: 10.1051/cocv:2008049
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