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Sbornik: Mathematics, 2001, Volume 192, Issue 10, Pages 1553–1585
DOI: https://doi.org/10.1070/SM2001v192n10ABEH000606 (Mi sm606) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Homogenization of the boundary-value problem for the biharmonic equation in a domain containing thin canals of small length

T. A. Shaposhnikova

M. V. Lomonosov Moscow State University
English version PDF (280 kB) Citations (5) Russian version article
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DOI: https://doi.org/10.1070/SM2001v192n10ABEH000606
Abstract: The present paper is devoted to homogenization of the boundary-value problem for the biharmonic equation in a planar domain containing thin canals of width $a_\varepsilon$ and of small length $\varepsilon^q$ $(q>0)$ situated $\varepsilon$-periodically along one of the coordinate axes.
Received: 05.03.2001
Bibliographic databases:
UDC: 517.9
MSC: Primary 35B27; Secondary 31A30, 35B40
Language: English
Original paper language: Russian
Citation: T. A. Shaposhnikova, “Homogenization of the boundary-value problem for the biharmonic equation in a domain containing thin canals of small length”, Sb. Math., 192:10 (2001), 1553–1585
Citation in format AMSBIB
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\by T.~A.~Shaposhnikova
\paper Homogenization of the~boundary-value problem for the~biharmonic equation in a~domain containing thin canals of small length
\jour Sb. Math.
\yr 2001
\vol 192
\issue 10
\pages 1553--1585
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0035528295}
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  • https://www.mathnet.ru/eng/sm/v192/i10/p131
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник - 1992–2005 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:477
    Russian version PDF:238
    English version PDF:35
    References:81
    First page:3
     
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