Senoussi Guesmia
Abstract:
The aim of this paper is to analyze the asymptotic behavior of the
solutions to elliptic boundary-value problems where some
coefficients become negligible on a cylindrical part of the
domain. We show that the dimension of the space can be reduced
and find estimates of the rate of convergence. Some applications to
elliptic boundary-value problems on domains becoming unbounded are
also considered.
Submitted November 16, 2007. Published April 18, 2008.
Math Subject Classifications: 35B25, 35B40, 35J25.
Key Words: Elliptic problem; singular perturbations; asymptotic behavior.
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Senoussi Guesmia Service de Métrologie Nucleaire, Université Libre de Bruxelles C. P. 165, 50, Av. F. D. Roosevelt, B-1050 Brussels, Belgium. Laboratoire Mathématiques, Informatique et Applications (MIA) 4, rue des Frères Lumière 68093 Mulhouse CEDEX France email: senoussi.guesmia@uha.fr, sguesmia@ulb.ac.be |
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