# Penalization of Dirichlet optimal control problems

Eduardo Casas; Mariano Mateos; Jean-Pierre Raymond

ESAIM: Control, Optimisation and Calculus of Variations (2009)

- Volume: 15, Issue: 4, page 782-809
- ISSN: 1292-8119

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topCasas, Eduardo, Mateos, Mariano, and Raymond, Jean-Pierre. "Penalization of Dirichlet optimal control problems." ESAIM: Control, Optimisation and Calculus of Variations 15.4 (2009): 782-809. <http://eudml.org/doc/246091>.

@article{Casas2009,

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.},

author = {Casas, Eduardo, Mateos, Mariano, Raymond, Jean-Pierre},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {Dirichlet optimal control; Robin penalization; regularity of solutions},

language = {eng},

number = {4},

pages = {782-809},

publisher = {EDP-Sciences},

title = {Penalization of Dirichlet optimal control problems},

url = {http://eudml.org/doc/246091},

volume = {15},

year = {2009},

}

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

PB - EDP-Sciences

VL - 15

IS - 4

SP - 782

EP - 809

AB - 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.

LA - eng

KW - Dirichlet optimal control; Robin penalization; regularity of solutions

UR - http://eudml.org/doc/246091

ER -

## References

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