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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)
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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
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    • 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
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    Full-text PDF :141
    References:101
    First page:10
     
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