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Zapiski Nauchnykh Seminarov LOMI, 1977, Volume 73, Pages 217–223 (Mi znsl1957)  
This article is cited in 3 scientific papers (total in 3 papers)

Short communications

Construction of a self-adjoint dilatation for a problem with impedance boundary condition

B. S. Pavlov, M. D. Faddeev
Full-text PDF (285 kB) Citations (3)
Abstract: We study the spectral problem
$$ \Delta u+k^2u=0,\quad\dfrac{\partial u}{\partial n}-ik\sigma u|_{\delta\Omega}=0,\quad\sigma\geqslant0. $$
We construct a self-adjoint dilatation and the problem is reduced to the investigation of a dissipative operator in a space with energy metric.
English version:
Journal of Soviet Mathematics, 1986, Volume 34, Issue 6, Pages 2152–2156
DOI: https://doi.org/10.1007/BF01741592
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: B. S. Pavlov, M. D. Faddeev, “Construction of a self-adjoint dilatation for a problem with impedance boundary condition”, Investigations on linear operators and function theory. Part VIII, Zap. Nauchn. Sem. LOMI, 73, "Nauka", Leningrad. Otdel., Leningrad, 1977, 217–223; J. Soviet Math., 34:6 (1986), 2152–2156
Citation in format AMSBIB
\Bibitem{PavFad77}
\by B.~S.~Pavlov, M.~D.~Faddeev
\paper Construction of a self-adjoint dilatation for a problem with impedance boundary condition
\inbook Investigations on linear operators and function theory. Part~VIII
\serial Zap. Nauchn. Sem. LOMI
\yr 1977
\vol 73
\pages 217--223
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl1957}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=513181}
\zmath{https://zbmath.org/?q=an:0614.35065|0406.35050}
\transl
\jour J. Soviet Math.
\yr 1986
\vol 34
\issue 6
\pages 2152--2156
\crossref{https://doi.org/10.1007/BF01741592}
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  • https://www.mathnet.ru/eng/znsl/v73/p217
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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