Trudy Instituta Matematiki i Mekhaniki UrO RAN
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Trudy Inst. Mat. i Mekh. UrO RAN:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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
Full-text PDF (309 kB)
References:
PDF
HTML
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}
Linking options:
  • https://www.mathnet.ru/eng/timm86
  • https://www.mathnet.ru/eng/timm/v13/i2/p33
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Trudy Instituta Matematiki i Mekhaniki UrO RAN
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024