A Direct Study in a Hilbert-Schmidt Framework of the Riccati Equation Appearing in a Factorization Method of Second Order Elliptic Boundary Value Problems - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Reports (Research Report) Year : 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

Abstract

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.
Fichier principal
Vignette du fichier
RR-4451.pdf (498.12 Ko) Télécharger le fichier

Dates and versions

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

Identifiers

  • HAL Id : inria-00072137 , version 1

Cite

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⟩
74 View
157 Download

Share

Gmail Facebook Twitter LinkedIn More