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Penalization of Dirichlet optimal control problems

Published online by Cambridge University Press:  20 August 2008

Eduardo Casas ,
Mariano Mateos  and
Jean-Pierre Raymond
Eduardo Casas
Affiliation:
Dpto. de Matemática Aplicada y Ciencias de la Computación, E.T.S.I. Industriales y de Telecomunicación, Universidad de Cantabria, 39005 Santander, Spain. eduardo.casas@unican.es
Mariano Mateos
Affiliation:
Dpto. de Matemáticas, Universidad de Oviedo, Campus de Viesques, 33203 Gijón, Spain. mmateos@uniovi.es
Jean-Pierre Raymond
Affiliation:
Institut de Mathématiques de Toulouse, UMR CNRS 5219, Université Paul Sabatier, 31062 Toulouse Cedex 9, France. raymond@mip.ups-tlse.fr
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Abstract

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.

Keywords

Dirichlet optimal controlRobin penalizationregularity of solutions

Information

Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 15 , Issue 4 , October 2009 , pp. 782 - 809
Copyright
© EDP Sciences, SMAI, 2008

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References

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