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 Differ. Uravn., 1995, Volume 31, Number 7, Pages 1150–1160 (Mi de9456)

Partial Differential Equations

On an averaging problem in a partially punctured domain with a boundary condition of mixed type on the boundary of the holes, containing a small parameter

O. A. Oleinik, T. A. Shaposhnikova

Lomonosov Moscow State University

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English version:
Differential Equations, 1995, 31:7, 1086–1098

Bibliographic databases:
UDC: 517.95

Citation: O. A. Oleinik, T. A. Shaposhnikova, “On an averaging problem in a partially punctured domain with a boundary condition of mixed type on the boundary of the holes, containing a small parameter”, Differ. Uravn., 31:7 (1995), 1150–1160; Differ. Equ., 31:7 (1995), 1086–1098

Citation in format AMSBIB
\Bibitem{OleSha95} \by O.~A.~Oleinik, T.~A.~Shaposhnikova \paper On an averaging problem in a partially punctured domain with a boundary condition of mixed type on the boundary of the holes, containing a small parameter \jour Differ. Uravn. \yr 1995 \vol 31 \issue 7 \pages 1150--1160 \mathnet{http://mi.mathnet.ru/de9456} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=1429770} \zmath{https://zbmath.org/?q=an:0866.35014} \transl \jour Differ. Equ. \yr 1995 \vol 31 \issue 7 \pages 1086--1098 

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This publication is cited in the following articles:
1. M. N. Zubova, T. A. Shaposhnikova, “Averaging of boundary-value problems for the Laplace operator in perforated domains with a nonlinear boundary condition of the third type on the boundary of cavities”, Journal of Mathematical Sciences, 190:1 (2013), 181–193
2. W. Jäger, M. Neuss-Radu, T. A. Shaposhnikova, “Homogenization of the diffusion equation with nonlinear flux condition on the interior boundary of a perforated domain – the influence of the scaling on the nonlinearity in the effective sink-source term”, J. Math. Sci. (N. Y.), 179:3 (2011), 446–459
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