Geodesic
Asymptotic behavior of elliptic boundary-value problems with some small coefficients
Electronic Journal of Differential Equations, Tome 2008 (2008).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 35B25, 35B40, 35J25
Keywords: elliptic problem, singular perturbations, asymptotic behavior 
@article{EJDE_2008__2008__a46,
     author = {Guesmia, Senoussi},
     title = {Asymptotic behavior of elliptic boundary-value problems with some small coefficients},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2008},
     year = {2008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a46/}
}
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Guesmia, Senoussi. Asymptotic behavior of elliptic boundary-value problems with some small coefficients. Electronic Journal of Differential Equations, Tome 2008 (2008). http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a46/