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 Tr. Mat. Inst. Steklova, 2005, Volume 250, Pages 54–63 (Mi tm30)

Asymptotic Expansion of Solutions to Elliptic Boundary Value Problems in Certain Critical Cases

S. A. Golopuz

Abstract: A singularly perturbed elliptic boundary value problem is considered. In a number of critical cases, an algorithm for constructing the asymptotics of a solution is described and theorems on the asymptotic expansion are proved.

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English version:
Proceedings of the Steklov Institute of Mathematics, 2005, 250, 47–55

Bibliographic databases:
UDC: 517.956

Citation: S. A. Golopuz, “Asymptotic Expansion of Solutions to Elliptic Boundary Value Problems in Certain Critical Cases”, Differential equations and dynamical systems, Collected papers, Tr. Mat. Inst. Steklova, 250, Nauka, MAIK «Nauka/Inteperiodika», M., 2005, 54–63; Proc. Steklov Inst. Math., 250 (2005), 47–55

Citation in format AMSBIB
\Bibitem{Gol05} \by S.~A.~Golopuz \paper Asymptotic Expansion of Solutions to Elliptic Boundary Value Problems in Certain Critical Cases \inbook Differential equations and dynamical systems \bookinfo Collected papers \serial Tr. Mat. Inst. Steklova \yr 2005 \vol 250 \pages 54--63 \publ Nauka, MAIK «Nauka/Inteperiodika» \publaddr M. \mathnet{http://mi.mathnet.ru/tm30} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=2200907} \zmath{https://zbmath.org/?q=an:1138.35317} \transl \jour Proc. Steklov Inst. Math. \yr 2005 \vol 250 \pages 47--55 

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This publication is cited in the following articles:
1. S. A. Golopuz, “Adjoint boundary conditions for incomplete systems of initial relations between coefficients of the boundary layer”, Journal of Mathematical Sciences, 199:5 (2014), 535–546
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