Abdelhaq Benbrik, Mohammed Berrajaa, Samir Lahrech
Abstract:
We consider the abstract nonlinear evolution equation
.
Viewing
as control,
we seek to minimize
.
Under suitable hypotheses, it is shown that there exists an
optimal control
and that it satisfies the
appropriate optimality system. An example involving the
-Laplacian
operator demonstrates the applicability of our results.
Published September 20, 2006.
Math Subject Classifications: 49J20, 49K20.
Key Words: Optimal control; monotone operator; compact embedding;
$p$-Laplacian; bilinear system.
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Abdelhaq Benbrik Département de Mathématiques et Informatique Faculté des Sciences Université Mohammed 1er, Oujda, Maroc email: benbrik@sciences.univ-oujda.ac.ma | |
Mohammed Berrajaa Département de Mathématiques et Informatique Faculté des Sciences Université Mohammed 1er, Oujda, Maroc email: berrajaa@sciences.univ-oujda.ac.ma | |
Samir Lahrech Département de Mathématiques et Informatique Faculté des Sciences Université Mohammed 1er, Oujda, Maroc email: lahrech@sciences.univ-oujda.ac.ma |
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