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Matematicheskie Zametki, 1997, Volume 61, Issue 4, Pages 494–502
DOI: https://doi.org/10.4213/mzm1529 (Mi mzm1529) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Characteristic frequencies of bodies with thin spikes. III. Frequency splitting

R. R. Gadyl'shin

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
Full-text PDF (188 kB) Citations (5)
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DOI: https://doi.org/10.4213/mzm1529
Abstract: The eigenvalue problem for the Laplace operator with the Neumann boundary conditions in a domain that has a thin spike of finite length is considered for the case in which the limit value is an eigenvalue both for the main body and the spike. The method of matched asymptotic expansions is used to construct total asymptotics of the eigenvalues of the perturbed problem and obtain closed formulas for the leading asymptotic terms.
Received: 22.12.1994
English version:
Mathematical Notes, 1997, Volume 61, Issue 4, Pages 409–416
DOI: https://doi.org/10.1007/BF02354985
Bibliographic databases:
UDC: 517
Language: Russian
Citation: R. R. Gadyl'shin, “Characteristic frequencies of bodies with thin spikes. III. Frequency splitting”, Mat. Zametki, 61:4 (1997), 494–502; Math. Notes, 61:4 (1997), 409–416
Citation in format AMSBIB
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    This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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