Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 1983, Number 4, Pages 53–63 (Mi vmumm3514)  

Mathematics

Averaging of eigenvalues and eigenfunctions of a boundary value problem of elasticity theory in a perforated domain

G. A. Iosif'yan, O. A. Oleinik, A. S. Shamaev
Abstract: For a system of the theory of elasticity with rapidly oscillating periodic coefficients of period $\varepsilon$, a boundary value problem is considered in a perforated domain with a periodic structure of period $\varepsilon$. An estimate is derived for the deviation of the eigenvalues and eigenfunctions of this problem from those of the corresponding homogenized problem. The character of the dependence of the deviation on the small parameter $\varepsilon$ is given.
Received: 10.01.1983
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: G. A. Iosif'yan, O. A. Oleinik, A. S. Shamaev, “Averaging of eigenvalues and eigenfunctions of a boundary value problem of elasticity theory in a perforated domain”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1983, no. 4, 53–63
Citation in format AMSBIB
\Bibitem{IosOleSha83}
\by G.~A.~Iosif'yan, O.~A.~Oleinik, A.~S.~Shamaev
\paper Averaging of eigenvalues and eigenfunctions of a boundary value problem of elasticity theory in a perforated domain
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 1983
\issue 4
\pages 53--63
\mathnet{http://mi.mathnet.ru/vmumm3514}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=0713974}
\zmath{https://zbmath.org/?q=an:0567.73019}
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