Asymptotic behavior of elliptic boundary-value problems with some small coefficients
Senoussi Guesmia · DOAJ (DOAJ: Directory of Open Access Journals) · 2008
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.