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Russian Academy of Sciences. Izvestiya Mathematics, 1994, Volume 43, Issue 2, Pages 233–260
DOI: https://doi.org/10.1070/IM1994v043n02ABEH001563 (Mi im839) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Splitting of the poles of a Helmholtz resonator

R. R. Gadyl'shin

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
English version PDF (1358 kB) Citations (5) Russian version article
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DOI: https://doi.org/10.1070/IM1994v043n02ABEH001563
Abstract: It is shown that in a neighborhood of a two-fold eigenvalue of the Neumann problem there are two poles of the Green's function of the Helmholtz resonator. Asymptotic expressions for them with respect to a small parameter $\varepsilon$ (the linear size of the hole) are constructed, and the principal terms of the asymptotics are written out for the corresponding scattering and radiation problems.
Received: 16.01.1992
Bibliographic databases:
UDC: 517.956
MSC: Primary 35J05, 35P25; Secondary 47A40, 78A45, 70K30
Language: English
Original paper language: Russian
Citation: R. R. Gadyl'shin, “Splitting of the poles of a Helmholtz resonator”, Russian Acad. Sci. Izv. Math., 43:2 (1994), 233–260
Citation in format AMSBIB
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\by R.~R.~Gadyl'shin
\paper Splitting of the poles of a Helmholtz resonator
\jour Russian Acad. Sci. Izv. Math.
\yr 1994
\vol 43
\issue 2
\pages 233--260
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\crossref{https://doi.org/10.1070/IM1994v043n02ABEH001563}
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\zmath{https://zbmath.org/?q=an:0827.35095}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1994IzMat..43..233G}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1994QC45400003}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:499
    Russian version PDF:128
    English version PDF:18
    References:87
    First page:2
     
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