no. 15-16
Partial Differential Equations/Optimal Control
Factorization of linear elliptic boundary value problems in non-cylindrical domains
[Factorisation de problèmes aux limites linéaires elliptiques dans un domaine non cylindrique]

Présenté par : the Editorial Board

Henry, Jacques1 ; Louro, Bento2 ; do Céu Soares, Maria2
1 INRIA Bordeaux Sud Ouest, IMB, université Bordeaux 1, 351, cours de la libération, 33405 Talence cedex, France
2 CMA, Departamento de Matemática, Faculdade de Ciências e Tecnologia, Universidade Nova de Lisboa, 2829-516 Caparica, Portugal
Comptes Rendus. Mathématique, Tome 349 (2011) no. 15-16, pp. 879-882.

Nous présentons une méthode de factorisation de problèmes aux limites elliptiques linéaires dans un domaine non cylindrique. On associe au problème elliptique un problème de contrôle qui en fournit une régularisation. La technique de changement de variables est utilisée pour étudier ce problème de contrôle.

We present a method of factorization for linear elliptic boundary value problems considered in non-cylindrical domains. We associate a control problem to the boundary value problem which regularizes it. The technique of change of variables is used to study this problem.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2011.07.003
Henry, Jacques 1 ; Louro, Bento 2 ; do Céu Soares, Maria 2

1 INRIA Bordeaux Sud Ouest, IMB, université Bordeaux 1, 351, cours de la libération, 33405 Talence cedex, France
2 CMA, Departamento de Matemática, Faculdade de Ciências e Tecnologia, Universidade Nova de Lisboa, 2829-516 Caparica, Portugal 
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Henry, Jacques; Louro, Bento; do Céu Soares, Maria. Factorization of linear elliptic boundary value problems in non-cylindrical domains. Comptes Rendus. Mathématique, Tome 349 (2011) no. 15-16, pp. 879-882. doi : 10.1016/j.crma.2011.07.003. http://www.numdam.org/articles/10.1016/j.crma.2011.07.003/

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[3] Da Prato, G.; Zolésio, J.P. An optimal control problem for a parabolic equation in non cylindrical domains, Systems & Control Letters, Volume 11 (1988), pp. 73-77

[4] Henry, J.; Ramos, A.M. Factorization of second order elliptic boundary value problems by dynamic programming, Nonlinear Analysis: Theory, Methods & Applications, Volume 59 (2004), pp. 629-647

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