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Rapport (Rapport De Recherche) Année : 2002

A Direct Study in a Hilbert-Schmidt Framework of the Riccati Equation Appearing in a Factorization Method of Second Order Elliptic Boundary Value Problems

Résumé

In this report we come back to the method of factorization of a second order elliptic boundary value problem presented in . In this paper, it was shown that, in the case of a cylinder, the boundary value problem can be factorized in two uncoupled first order initial value problems. This factorization utilizes the Dirichlet to Neumann operator which satisfies a Riccati equation. Here we consider Hilbert-Schmidt operators, a framework already used by R. Temam which provides tools for a direct study of this Riccati equation.
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Dates et versions

inria-00072137 , version 1 (23-05-2006)

Identifiants

  • HAL Id : inria-00072137 , version 1

Citer

Jacques Henry, Angel M. Ramos. A Direct Study in a Hilbert-Schmidt Framework of the Riccati Equation Appearing in a Factorization Method of Second Order Elliptic Boundary Value Problems. [Research Report] RR-4451, INRIA. 2002. ⟨inria-00072137⟩
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