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Zapiski Nauchnykh Seminarov POMI, 1992, Volume 203, Pages 21–50 (Mi znsl5770)  

This article is cited in 19 scientific papers (total in 19 papers)

Boundary controls and quasiphotons in a Riemannian manifold reconstruction problem via dynamical data

M. I. Belishev, A. P. Katchalov
Abstract: The problem of reconstruction of a Riemannian manifold via it's dynamical Dirichlet to Newmann response operator is considered. The approach for solving the problem is based upon the boundary control theory method. The procedure of reconstruction uses nonstationary Gaussian beams (quasiphotons). The essential feature of the procedure is locality. The class of manifolds which may be reconstructed by this approach is described in terms of the boundary control theory. It includes for instance all analitical manifolds.
English version:
Journal of Mathematical Sciences, 1996, Volume 79, Issue 4, Pages 1172–1190
DOI: https://doi.org/10.1007/BF02362883
Bibliographic databases:
Document Type: Article
UDC: 517.946
Language: Russian
Citation: M. I. Belishev, A. P. Katchalov, “Boundary controls and quasiphotons in a Riemannian manifold reconstruction problem via dynamical data”, Mathematical problems in the theory of wave propagation. Part 22, Zap. Nauchn. Sem. POMI, 203, Nauka, St. Petersburg, 1992, 21–50; J. Math. Sci., 79:4 (1996), 1172–1190
Citation in format AMSBIB
\Bibitem{BelKac92}
\by M.~I.~Belishev, A.~P.~Katchalov
\paper Boundary controls and quasiphotons in a~Riemannian manifold reconstruction problem via dynamical data
\inbook Mathematical problems in the theory of wave propagation. Part~22
\serial Zap. Nauchn. Sem. POMI
\yr 1992
\vol 203
\pages 21--50
\publ Nauka
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5770}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1193677}
\zmath{https://zbmath.org/?q=an:0800.93603|0850.93367}
\transl
\jour J. Math. Sci.
\yr 1996
\vol 79
\issue 4
\pages 1172--1190
\crossref{https://doi.org/10.1007/BF02362883}
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  • https://www.mathnet.ru/eng/znsl/v203/p21
  • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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