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Mathematics of the USSR-Sbornik, 1984, Volume 49, Issue 1, Pages 19–40
DOI: https://doi.org/10.1070/SM1984v049n01ABEH002694 (Mi sm2151) 		 
This article is cited in 12 scientific papers (total in 12 papers)

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

A. L. Piatnitski
English version PDF (1038 kB) Citations (12) Russian version article
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DOI: https://doi.org/10.1070/SM1984v049n01ABEH002694
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.
Received: 04.11.1981
Bibliographic databases:
UDC: 517.946
MSC: Primary 35J25, 35B25; Secondary 35B45
Language: English
Original paper language: Russian
Citation: A. L. Piatnitski, “Averaging a singularly perturbed equation with rapidly oscillating coefficients in a layer”, Math. USSR-Sb., 49:1 (1984), 19–40
Citation in format AMSBIB
\Bibitem{Pia83}
\by A.~L.~Piatnitski
\paper Averaging a~singularly perturbed equation with rapidly oscillating coefficients in a~layer
\jour Math. USSR-Sb.
\yr 1984
\vol 49
\issue 1
\pages 19--40
\mathnet{http://mi.mathnet.ru/eng/sm2151}
\crossref{https://doi.org/10.1070/SM1984v049n01ABEH002694}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=699735}
\zmath{https://zbmath.org/?q=an:0551.35025|0528.35005}
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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