Geodesic
Asymptotic of boundary value problem solution for elliptic equation in domain with small holes
Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 13 (2011), pp. 49-58

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We construct an asymptotic expansion of the boundary value problem solution for elliptic equation in domain with two small holes. We also prove that the constructed formal asymptotic series is а true asymptotic expansion.
Keywords: asymptotic expansion, boundary value problem, small parameter.
Mots-clés : Laplace equation 
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     author = {E. Yu. Postnikova},
     title = {Asymptotic of boundary value problem solution for elliptic equation in domain with small holes},
     journal = {Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika},
     pages = {49--58},
     publisher = {mathdoc},
     number = {13},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VCHGU_2011_13_a4/}
}
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E. Yu. Postnikova. Asymptotic of boundary value problem solution for elliptic equation in domain with small holes. Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 13 (2011), pp. 49-58. http://geodesic.mathdoc.fr/item/VCHGU_2011_13_a4/