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Mathematics of the USSR-Sbornik, 1992, Volume 71, Issue 1, Pages 209–234
DOI: https://doi.org/10.1070/SM1992v071n01ABEH001394 (Mi sm1229) 		 
This article is cited in 34 scientific papers (total in 34 papers)

Extension theory and localization of resonances for domains of trap type

I. Yu. Popov

Leningrad Institute of Precision Mechanics and Optics
English version PDF (1209 kB) Citations (34) Russian version article
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DOI: https://doi.org/10.1070/SM1992v071n01ABEH001394
Abstract: The existence of a series of resonances located near the real axis is proved for the problem of scattering on a domain with a small aperture (narrow slit) (a domain of trap type). A method is presented for computing the resonances, based on a model of slits of zero width, based in turn on the theory of selfadjoint extensions of symmetric operators.
Received: 21.09.1989
Bibliographic databases:
UDC: 517.9
MSC: Primary 97A20, 35P25, 47A40; Secondary 35J05, 78A45, 70K30
Language: English
Original paper language: Russian
Citation: I. Yu. Popov, “Extension theory and localization of resonances for domains of trap type”, Math. USSR-Sb., 71:1 (1992), 209–234
Citation in format AMSBIB
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\by I.~Yu.~Popov
\paper Extension theory and localization of resonances for domains of trap type
\jour Math. USSR-Sb.
\yr 1992
\vol 71
\issue 1
\pages 209--234
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\crossref{https://doi.org/10.1070/SM1992v071n01ABEH001394}
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\zmath{https://zbmath.org/?q=an:0741.35053|0718.35072}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1992SbMat..71..209P}
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    • This publication is cited in the following 34 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1989–1990 Sbornik: Mathematics
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    References:58
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