Monotone approximations of Green's functions

Monotone approximations of Green's functions

We study the approximations of the Green's function G in a domain Ω obtained from an approximation of the Dirac mass δ 0 . We prove that under some conditions, these approximations converge monotonically to G , a rather surprising result. To cite this article: E. Chasseigne, R. Ferreira, C. R....

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Veröffentlicht in:Comptes rendus. Mathématique 2004-09, Vol.339 (6), p.395-400
Hauptverfasser: Chasseigne, Emmanuel, Ferreira, Raúl
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Sprache:eng ; fre
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Exact sciences and technology
Mathematical analysis
Mathematics
Partial differential equations
Sciences and techniques of general use
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container_title Comptes rendus. Mathématique
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creator Chasseigne, Emmanuel
Ferreira, Raúl
description We study the approximations of the Green's function G in a domain Ω obtained from an approximation of the Dirac mass δ 0 . We prove that under some conditions, these approximations converge monotonically to G , a rather surprising result. To cite this article: E. Chasseigne, R. Ferreira, C. R. Acad. Sci. Paris, Ser. I 339 (2004). Nous étudions les approximations des fonctions de Green G dans un domaine Ω obtenues par approximation de la masse de Dirac δ 0 . Nous montrons que sous certaines conditions, ces approximations sont monotones, ce qui peut paraître surprenant. Pour citer cet article : E. Chasseigne, R. Ferreira, C. R. Acad. Sci. Paris, Ser. I 339 (2004).
doi_str_mv 10.1016/j.crma.2004.07.003
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subjects Exact sciences and technology
Mathematical analysis
Mathematics
Partial differential equations
Sciences and techniques of general use
title Monotone approximations of Green's functions
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