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Zapiski Nauchnykh Seminarov POMI, 2011, Volume 393, Pages 29–45 (Mi znsl4614)  
This article is cited in 2 scientific papers (total in 2 papers)

Determination of distances to virtual source from dynamical boundary data

M. I. Belishev

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences, St. Petersburg, Russia
Full-text PDF (287 kB) Citations (2)
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Abstract: In the paper, we show that the dynamical boundary data (the response operator), which correspond to the measurements at the boundary of a Riemannian manifold, do determine the distances (wave travel times) from the boundary points to an interior source with a given semi-geodesic coordinates. The procedure, which determines these distances, is in principle available for numerical realization.
Key words and phrases: BC-method, Riemannian manifold, wave equation, time-domain boundary data, determination of distances to interior points.
Received: 28.09.2011
English version:
Journal of Mathematical Sciences (New York), 2012, Volume 185, Issue 4, Pages 526–535
DOI: https://doi.org/10.1007/s10958-012-0936-7
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: M. I. Belishev, “Determination of distances to virtual source from dynamical boundary data”, Mathematical problems in the theory of wave propagation. Part 41, Zap. Nauchn. Sem. POMI, 393, POMI, St. Petersburg, 2011, 29–45; J. Math. Sci. (N. Y.), 185:4 (2012), 526–535
Citation in format AMSBIB
\Bibitem{Bel11}
\by M.~I.~Belishev
\paper Determination of distances to virtual source from dynamical boundary data
\inbook Mathematical problems in the theory of wave propagation. Part~41
\serial Zap. Nauchn. Sem. POMI
\yr 2011
\vol 393
\pages 29--45
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4614}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2870203}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2012
\vol 185
\issue 4
\pages 526--535
\crossref{https://doi.org/10.1007/s10958-012-0936-7}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84866545844}
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  • https://www.mathnet.ru/eng/znsl/v393/p29
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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