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Zapiski Nauchnykh Seminarov POMI, 2012, Volume 409, Pages 121–129 (Mi znsl5515)  
This article is cited in 5 scientific papers (total in 5 papers)

Equations of the Boundary Control method for the inverse source problem

A. S. Mikhaylovab, V. S. Mikhaylova

a St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences, St. Petersburg, Russia
b St. Petersburg State University, St. Petersburg, Russia
Full-text PDF (188 kB) Citations (5)
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Abstract: We consider the dynamical inverse source problem for the abstract nonselfadjoint operator in the Hilbert space and derive the equation of the Boundary Control method for this problem. It is shown that the solution of this equation crucially depends on the property of certain exponential family. We provide the applications of this equation to inverse source problem and to the problem of the extension of the inverse data.
Key words and phrases: boundary control method, inverse source problem.
Received: 30.11.2012
English version:
Journal of Mathematical Sciences (New York), 2013, Volume 194, Issue 1, Pages 67–71
DOI: https://doi.org/10.1007/s10958-013-1507-2
Bibliographic databases:
Document Type: Article
UDC: 517
Language: English
Citation: A. S. Mikhaylov, V. S. Mikhaylov, “Equations of the Boundary Control method for the inverse source problem”, Mathematical problems in the theory of wave propagation. Part 42, Zap. Nauchn. Sem. POMI, 409, POMI, St. Petersburg, 2012, 121–129; J. Math. Sci. (N. Y.), 194:1 (2013), 67–71
Citation in format AMSBIB
\Bibitem{MikMik12}
\by A.~S.~Mikhaylov, V.~S.~Mikhaylov
\paper Equations of the Boundary Control method for the inverse source problem
\inbook Mathematical problems in the theory of wave propagation. Part~42
\serial Zap. Nauchn. Sem. POMI
\yr 2012
\vol 409
\pages 121--129
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5515}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3032232}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2013
\vol 194
\issue 1
\pages 67--71
\crossref{https://doi.org/10.1007/s10958-013-1507-2}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84899030808}
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  • https://www.mathnet.ru/eng/znsl/v409/p121
    • 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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