On a Direct Study of an Operator Riccati Equation Appearing in Boundary Value Problems Factorization
HENRY, Jacques
Institut de Mathématiques de Bordeaux [IMB]
Tools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS]
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Institut de Mathématiques de Bordeaux [IMB]
Tools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS]
HENRY, Jacques
Institut de Mathématiques de Bordeaux [IMB]
Tools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS]
< Reduce
Institut de Mathématiques de Bordeaux [IMB]
Tools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS]
Language
en
Article de revue
This item was published in
Applied Mathematical Sciences. 2008, vol. 2, n° 46, p. 2247 - 2257
Hikari
English 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 ...Read more >
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.Read less <
Italian Keywords
Factorization
boundary value problem
operator Riccati equation
Dirichlet to Neumann operator
Yosida regularization
Origin
Hal imported