Geodesic
Asymptotic behavior of elliptic boundary-value problems with some small coefficients
Electronic journal of differential equations, Tome 2008 (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.
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},
     year = {2008},
     volume = {2008},
     zbl = {1173.35426},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a46/}
}
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%A Guesmia,  Senoussi
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%J Electronic journal of differential equations
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%V 2008
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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/