Geodesic
On the asymptotics of a solution of a boundary value problem in a domain perforated along boundary
Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 14 (2011), pp. 27-36

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We consider the Poission problem in a model domain periodically perforated along the boundary. It is assumed that on the external boundary the homogenized Neumann condition is imposed while on the boundary of the cavities the Dirichlet condition is supposed. We construct and justify the asymptotic expansion of the solution to this problem.
Keywords: Laplace operator, perforated domain, small parameter, homogenization, asymptotics. 
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     author = {R. R. Gadyl'shin and Yu. O. Koroleva and G. A. Chechkin},
     title = {On the asymptotics of a solution of a boundary value problem in a domain perforated along boundary},
     journal = {Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika},
     pages = {27--36},
     publisher = {mathdoc},
     number = {14},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VCHGU_2011_14_a2/}
}
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R. R. Gadyl'shin; Yu. O. Koroleva; G. A. Chechkin. On the asymptotics of a solution of a boundary value problem in a domain perforated along boundary. Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 14 (2011), pp. 27-36. http://geodesic.mathdoc.fr/item/VCHGU_2011_14_a2/