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Zapiski Nauchnykh Seminarov LOMI, 1988, Volume 173, Pages 30–41 (Mi znsl4494)  
This article is cited in 5 scientific papers (total in 5 papers)

To the Kac problem of a reconstruction of the area shape by the spectrum of the Dirichlet problem

M. I. Belishev
Full-text PDF (580 kB) Citations (5)
Abstract: The inverse problem of M. Kac is considered. The procedure of a reconstruction of a area shape is described for the wide class of convex areas. This result can be generalized on some classes of nonconvex areas.
English version:
Journal of Soviet Mathematics, 1991, Volume 55, Issue 3, Pages 1663–1672
DOI: https://doi.org/10.1007/BF01098204
Bibliographic databases:
Document Type: Article
UDC: 517.946
Language: Russian
Citation: M. I. Belishev, “To the Kac problem of a reconstruction of the area shape by the spectrum of the Dirichlet problem”, Mathematical problems in the theory of wave propagation. Part 18, Zap. Nauchn. Sem. LOMI, 173, "Nauka", Leningrad. Otdel., Leningrad, 1988, 30–41; J. Soviet Math., 55:3 (1991), 1663–1672
Citation in format AMSBIB
\Bibitem{Bel88}
\by M.~I.~Belishev
\paper To the Kac problem of a reconstruction of the area shape by the spectrum of the Dirichlet problem
\inbook Mathematical problems in the theory of wave propagation. Part~18
\serial Zap. Nauchn. Sem. LOMI
\yr 1988
\vol 173
\pages 30--41
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl4494}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=0983352}
\zmath{https://zbmath.org/?q=an:0724.35107|0694.35214}
\transl
\jour J. Soviet Math.
\yr 1991
\vol 55
\issue 3
\pages 1663--1672
\crossref{https://doi.org/10.1007/BF01098204}
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  • https://www.mathnet.ru/eng/znsl/v173/p30
    • 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
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