Comptes Rendus
no. 6
Partial Differential Equations
Monotone approximations of Green's functions
Presented by: Haïm Brezis
Emmanuel Chasseigne1; Raúl Ferreira2
1 Université de Tours, parc de Grandmont, 37200 Tours, France
2 Universidad Carlos III de Madrid, 28911 Leganés, Spain
Comptes Rendus. Mathématique, Volume 339 (2004) no. 6, pp. 395-400

We study the approximations of the Green's function G in a domain Ω obtained from an approximation of the Dirac mass δ0. We prove that under some conditions, these approximations converge monotonically to G, a rather surprising result.

Nous étudions les approximations des fonctions de Green G dans un domaine Ω obtenues par approximation de la masse de Dirac δ0. Nous montrons que sous certaines conditions, ces approximations sont monotones, ce qui peut paraître surprenant.

Accepted:
Published online:
DOI: 10.1016/j.crma.2004.07.003

Emmanuel Chasseigne 1; Raúl Ferreira 2

1 Université de Tours, parc de Grandmont, 37200 Tours, France
2 Universidad Carlos III de Madrid, 28911 Leganés, Spain 
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Emmanuel Chasseigne; Raúl Ferreira. Monotone approximations of Green's functions. Comptes Rendus. Mathématique, Volume 339 (2004) no. 6, pp. 395-400. doi: 10.1016/j.crma.2004.07.003

[1] P. Bénilan The Laplace operator (R. Dautray; J.L. Lions, eds.), Mathematical Analysis and Numerical Methods for Science and Technology, Springer-Verlag, 1988

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