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Teoreticheskaya i Matematicheskaya Fizika, 1994, Volume 100, Number 3, Pages 354–366 (Mi tmf1654)  
This article is cited in 11 scientific papers (total in 11 papers)

The eigenvalues and eigenfunctions of Laplas operator with Neuman boundary conditions in the system of two connected resonators

A. A. Kiseleva, B. S. Pavlovb

a Saint-Petersburg State University
b V. A. Fock Institute of Physics, Saint-Petersburg State University
Full-text PDF (1123 kB) Citations (11)
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Abstract: The model Neuman Laplacian in the system of two resonators, connected through a thin channel, is studied. The first terms of the asymptotic expansions of eigenvalues and eigenfunctions by small linking parameter are obtained. An explicit expression for resolvent is derived. The model problem is compared to a real one.
Received: 05.04.1993
English version:
Theoretical and Mathematical Physics, 1994, Volume 100, Issue 3, Pages 1065–1074
DOI: https://doi.org/10.1007/BF01018571
Bibliographic databases:
Language: Russian
Citation: A. A. Kiselev, B. S. Pavlov, “The eigenvalues and eigenfunctions of Laplas operator with Neuman boundary conditions in the system of two connected resonators”, TMF, 100:3 (1994), 354–366; Theoret. and Math. Phys., 100:3 (1994), 1065–1074
Citation in format AMSBIB
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\by A.~A.~Kiselev, B.~S.~Pavlov
\paper The eigenvalues and eigenfunctions of Laplas operator with Neuman boundary conditions in the system of two connected resonators
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\yr 1994
\vol 100
\issue 3
\pages 354--366
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\zmath{https://zbmath.org/?q=an:0853.35084}
\transl
\jour Theoret. and Math. Phys.
\yr 1994
\vol 100
\issue 3
\pages 1065--1074
\crossref{https://doi.org/10.1007/BF01018571}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1994QP25500005}
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  • https://www.mathnet.ru/eng/tmf/v100/i3/p354
    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:67
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