Penalization of Dirichlet optimal control problems
ESAIM: Control, Optimisation and Calculus of Variations, Tome 15 (2009) no. 4, pp. 782-809.

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.

DOI : 10.1051/cocv:2008049
Classification : 49M30, 35B30, 35B37
Mots-clés : Dirichlet optimal control, Robin penalization, regularity of solutions 
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     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://archive.numdam.org/articles/10.1051/cocv:2008049/}
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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. http://archive.numdam.org/articles/10.1051/cocv:2008049/

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