On a Direct Study of an Operator Riccati Equation Appearing in Boundary Value Problems Factorization

Nadra Bouarroudj Jacques Henry 1, 2 Bento Louro Maria Orey
2 ANUBIS - Tools of automatic control for scientific computing, Models and Methods in Biomathematics
Université Bordeaux Segalen - Bordeaux 2, Université Sciences et Technologies - Bordeaux 1, Inria Bordeaux - Sud-Ouest, CNRS - Centre National de la Recherche Scientifique : UMR
Abstract : In this paper we propose a direct study of the Riccati equation satisfied by the Dirichlet-Neumann operator defined on a moving section for an elliptic boundary value problem set in a cylindrical domain [3]. Similar equations are studied in control theory. The additional difficulty of this problem is due to the unboundedness of the right-hand side and of the solution of the equation. The Yosida regularization is used to overcome it.
Type de document :
Article dans une revue
Applied Mathematical Sciences, hikari, 2008, 2 (46), pp.2247 - 2257
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https://hal.inria.fr/inria-00387563
Contributeur : Jacques Henry <>
Soumis le : lundi 25 mai 2009 - 16:25:29
Dernière modification le : jeudi 11 janvier 2018 - 06:22:11

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  • HAL Id : inria-00387563, version 1

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Nadra Bouarroudj, Jacques Henry, Bento Louro, Maria Orey. On a Direct Study of an Operator Riccati Equation Appearing in Boundary Value Problems Factorization. Applied Mathematical Sciences, hikari, 2008, 2 (46), pp.2247 - 2257. 〈inria-00387563〉

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