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Zapiski Nauchnykh Seminarov POMI, 1995, Volume 230, Pages 253–263 (Mi znsl3777)  
Transform operators in a two-dimensional inverse problem for a finite domain

A. S. Starkov

St. Petersburg StateUniversity of Low Temperature and FoodTechnologies
Full-text PDF (482 kB)
Abstract: An approach to the solution of inverse problems of wave propagation at a fixed frequency based on using transform operators is suggested. A system of integral equations of the Gelfand–Levitan type is obtained. The uniqueness theorem for the refraction index in the analytic case is proved. Bibl. 6 titles.
Received: 10.09.1995
English version:
Journal of Mathematical Sciences (New York), 1998, Volume 91, Issue 2, Pages 2866–2872
DOI: https://doi.org/10.1007/BF02434001
Bibliographic databases:
Document Type: Article
UDC: 517.946
Language: Russian
Citation: A. S. Starkov, “Transform operators in a two-dimensional inverse problem for a finite domain”, Mathematical problems in the theory of wave propagation. Part 25, Zap. Nauchn. Sem. POMI, 230, POMI, St. Petersburg, 1995, 253–263; J. Math. Sci. (New York), 91:2 (1998), 2866–2872
Citation in format AMSBIB
\Bibitem{Sta95}
\by A.~S.~Starkov
\paper Transform operators in a~two-dimensional inverse problem for a~finite domain
\inbook Mathematical problems in the theory of wave propagation. Part~25
\serial Zap. Nauchn. Sem. POMI
\yr 1995
\vol 230
\pages 253--263
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3777}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1434279}
\zmath{https://zbmath.org/?q=an:0902.45003|0886.45001}
\transl
\jour J. Math. Sci. (New York)
\yr 1998
\vol 91
\issue 2
\pages 2866--2872
\crossref{https://doi.org/10.1007/BF02434001}
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