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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2007, Volume 13, Number 2, Pages 33–42 (Mi timm86)  
Asymptotics of the eigenvalues of elliptic systems with fast oscillating coefficients

D. I. Borisov
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Abstract: A singularly perturbed second-order elliptic operator with fast oscillating coefficients is considered in the whole space. Complete asymptotic expansions of the eigenvalues are constructed, which converge to the isolated eigenvalues of the homogenized operator; complete asymptotic expansions for the corresponding eigenfunctions are constructed as well.
Received: 20.04.2007
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2007, Volume 259, Issue 2, Pages S35–S45
DOI: https://doi.org/10.1134/S008154380706003X
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: Russian
Citation: D. I. Borisov, “Asymptotics of the eigenvalues of elliptic systems with fast oscillating coefficients”, Trudy Inst. Mat. i Mekh. UrO RAN, 13, no. 2, 2007, 33–42; Proc. Steklov Inst. Math. (Suppl.), 259, suppl. 2 (2007), S35–S45
Citation in format AMSBIB
\Bibitem{Bor07}
\by D.~I.~Borisov
\paper Asymptotics of the eigenvalues of elliptic systems with fast oscillating coefficients
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2007
\vol 13
\issue 2
\pages 33--42
\mathnet{http://mi.mathnet.ru/timm86}
\elib{https://elibrary.ru/item.asp?id=12040766}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2007
\vol 259
\issue , suppl. 2
\pages S35--S45
\crossref{https://doi.org/10.1134/S008154380706003X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-38949102062}
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