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 |
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