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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.
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https://hal.inria.fr/inria-00387563
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Submitted on : Monday, May 25, 2009 - 4:25:29 PM
Last modification on : Thursday, February 11, 2021 - 2:58:22 PM

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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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