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Sbornik: Mathematics, 2001, Volume 192, Issue 7, Pages 933–949
DOI: https://doi.org/10.1070/SM2001v192n07ABEH000576 (Mi sm576) 		 
This article is cited in 30 scientific papers (total in 30 papers)

Averaging in a perforated domain with an oscillating third boundary condition

A. G. Belyaeva, A. L. Piatnitskib, G. A. Chechkinc

a University of Aizu
b P. N. Lebedev Physical Institute, Russian Academy of Sciences
c M. V. Lomonosov Moscow State University
English version PDF (214 kB) Citations (30)
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DOI: https://doi.org/10.1070/SM2001v192n07ABEH000576
Abstract: We study an example averaging problem for a second-order elliptic equation in a periodically perforated domain with a third boundary condition (Fourier condition) on the boundary of the holes. Under the assumption that the coefficients of the boundary operator are bounded and the corresponding averages are small we construct the leading terms of the asymptotic expansion of the solution and estimate the error.
Received: 22.11.1999 and 25.09.2000
Russian version:
Matematicheskii Sbornik, 2001, Volume 192, Number 7, Pages 3–20
DOI: https://doi.org/10.4213/sm576
Bibliographic databases:
UDC: 517.956.226
MSC: Primary 35J25, 35B27, 35B40; Secondary 74510
Language: English
Original paper language: Russian
Citation: A. G. Belyaev, A. L. Piatnitski, G. A. Chechkin, “Averaging in a perforated domain with an oscillating third boundary condition”, Mat. Sb., 192:7 (2001), 3–20; Sb. Math., 192:7 (2001), 933–949
Citation in format AMSBIB
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    • This publication is cited in the following 30 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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