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Zapiski Nauchnykh Seminarov POMI, 1997, Volume 249, Pages 55–76 (Mi znsl580)  

This article is cited in 4 scientific papers (total in 4 papers)

On a uniqueness of the recovering low-order terms in the wave equation via dynamical boundary measurements

M. I. Belishev

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (283 kB) Citations (4)
Abstract: An approach to the dynamical inverse problems based upon their relations to the Boundary Control Theory (so-called $BC$-method) is developed. The method is applied to the problem of reconstruction of a vector field in a domain via the response operator (the dynamical Dirichlet-to-Neumann map). A peculiarity of the case under consideration is that the operator which governs an evolution of the corresponding dynamical system is nonselfadjoint. The paper gives a brief description of technique of the $BC$-method.
Received: 06.10.1997
English version:
Journal of Mathematical Sciences (New York), 2000, Volume 101, Issue 5, Pages 3408–3421
DOI: https://doi.org/10.1007/BF02680142
Bibliographic databases:
UDC: 517.946
Language: Russian
Citation: M. I. Belishev, “On a uniqueness of the recovering low-order terms in the wave equation via dynamical boundary measurements”, Boundary-value problems of mathematical physics and related problems of function theory. Part 29, Zap. Nauchn. Sem. POMI, 249, POMI, St. Petersburg, 1997, 55–76; J. Math. Sci. (New York), 101:5 (2000), 3408–3421
Citation in format AMSBIB
\Bibitem{Bel97}
\by M.~I.~Belishev
\paper On a uniqueness of the recovering low-order terms in the wave equation via dynamical boundary measurements
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~29
\serial Zap. Nauchn. Sem. POMI
\yr 1997
\vol 249
\pages 55--76
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl580}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1698513}
\zmath{https://zbmath.org/?q=an:0961.35173}
\transl
\jour J. Math. Sci. (New York)
\yr 2000
\vol 101
\issue 5
\pages 3408--3421
\crossref{https://doi.org/10.1007/BF02680142}
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  • https://www.mathnet.ru/eng/znsl/v249/p55
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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