Algebra i Analiz
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


Algebra i Analiz:
Year:
Volume:
Issue:
Page:
Find




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

Algebra i Analiz, 2009, Volume 21, Issue 2, Pages 166–204 (Mi aa1009)  
This article is cited in 4 scientific papers (total in 4 papers)

Opening a gap in the essential spectrum of the elasticity problem in a periodic semi-layer

S. A. Nazarov

Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, St. Petersburg, Russia
Full-text PDF (464 kB) Citations (4)
References:
PDF
HTML
Abstract: Rayleigh waves are studied in an elastic half-layer with a periodic end and rigidly clamped faces. It is established that the essential spectrum of the corresponding problem of elasticity theory has a band structure, and an example of a waveguide is presented in which a gap opens in the essential spectrum, i.e., an interval arises that contains points of at most discrete spectrum.
Keywords: Rayleigh waves, essential spectrum, band structure.
Received: 08.05.2008
English version:
St. Petersburg Mathematical Journal, 2010, Volume 21, Issue 2, Pages 281–307
DOI: https://doi.org/10.1090/S1061-0022-10-01095-2
Bibliographic databases:
MSC: 35Q72
Language: Russian
Citation: S. A. Nazarov, “Opening a gap in the essential spectrum of the elasticity problem in a periodic semi-layer”, Algebra i Analiz, 21:2 (2009), 166–204; St. Petersburg Math. J., 21:2 (2010), 281–307
Citation in format AMSBIB
\Bibitem{Naz09}
\by S.~A.~Nazarov
\paper Opening a~gap in the essential spectrum of the elasticity problem in a~periodic semi-layer
\jour Algebra i Analiz
\yr 2009
\vol 21
\issue 2
\pages 166--204
\mathnet{http://mi.mathnet.ru/aa1009}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2553046}
\zmath{https://zbmath.org/?q=an:1202.35326}
\transl
\jour St. Petersburg Math. J.
\yr 2010
\vol 21
\issue 2
\pages 281--307
\crossref{https://doi.org/10.1090/S1061-0022-10-01095-2}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000275558100007}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84871259621}
Linking options:
  • https://www.mathnet.ru/eng/aa1009
  • https://www.mathnet.ru/eng/aa/v21/i2/p166
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и анализ St. Petersburg Mathematical Journal
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024