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Zapiski Nauchnykh Seminarov POMI, 1995, Volume 230, Pages 36–40 (Mi znsl3763)  
A method for approximately solving inverse problems of wave propagation in a dissipative layered medium

A. S. Blagovestchenskii

Saint-Petersburg State University
Full-text PDF (215 kB)
Abstract: A method for reducing one-dimensional inverse problems of wave propagation theory to Cauchy problems for nonlinear systems of ordinary differential equations is proposed. This approach is applicable to a special class of inverse data, which is dense in the whole set of data equipped with any natural topology. Bibl. 3 titles.
Received: 13.06.1995
English version:
Journal of Mathematical Sciences (New York), 1998, Volume 91, Issue 2, Pages 2722–2724
DOI: https://doi.org/10.1007/BF02433987
Bibliographic databases:
Document Type: Article
UDC: 517.946
Language: Russian
Citation: A. S. Blagovestchenskii, “A method for approximately solving inverse problems of wave propagation in a dissipative layered medium”, Mathematical problems in the theory of wave propagation. Part 25, Zap. Nauchn. Sem. POMI, 230, POMI, St. Petersburg, 1995, 36–40; J. Math. Sci. (New York), 91:2 (1998), 2722–2724
Citation in format AMSBIB
\Bibitem{Bla95}
\by A.~S.~Blagovestchenskii
\paper A method for approximately solving inverse problems of wave propagation in a~dissipative layered medium
\inbook Mathematical problems in the theory of wave propagation. Part~25
\serial Zap. Nauchn. Sem. POMI
\yr 1995
\vol 230
\pages 36--40
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3763}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1434268}
\zmath{https://zbmath.org/?q=an:0902.34005|0888.34005}
\transl
\jour J. Math. Sci. (New York)
\yr 1998
\vol 91
\issue 2
\pages 2722--2724
\crossref{https://doi.org/10.1007/BF02433987}
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