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JOURNALS // Matematicheskii Sbornik // Archive
Mat. Sb. (N.S.), 1983 Volume 121(163), Number 1(5), Pages 18–39 (Mi sm2151)
This article is cited in 12 papers

Averaging a singularly perturbed equation with rapidly oscillating coefficients in a layer

A. L. Piatnitski


Abstract: A complete asymptotic expansion is constructed for a second-order equation of elliptic type with a small parameter in the highest-order derivative and rapidly oscillating coefficients.
Bibliography: 11 titles.

UDC: 517.946

MSC: Primary 35J25, 35B25; Secondary 35B45

Received: 04.11.1981


 English version: Mathematics of the USSR-Sbornik, 1984, 49:1, 19–40

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© Steklov Math. Inst. of RAS, 2025