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JOURNALS // Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika // Archive

Vestnik Chelyabinsk. Gos. Univ., 2011 Issue 13, Pages 49–58 (Mi vchgu51)

Differential equations

Asymptotic of boundary value problem solution for elliptic equation in domain with small holes

E. Yu. Postnikova

Chelyabinsk State University

Abstract: 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 à true asymptotic expansion.

Keywords: asymptotic expansion, Laplace equation, boundary value problem, small parameter.



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