Electronic Journal of Differential Equations,
Vol. 2008(2008), No. 59, pp. 1-13.

Title: Asymptotic behavior of elliptic boundary-value problems
       with some small coefficients
 
Author: Senoussi Guesmia (Univ. Libre de Bruxelles, Belgium)

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.