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Zapiski Nauchnykh Seminarov POMI, 2019, Volume 483, Pages 243–268 (Mi znsl6847)  

Dynamical inverse problem for the Lame type system (the BC-method)

V. G. Fomenko

Melitopol State Pedagogical University
References:
Abstract: In the paper, for a Lame-type system, the inverse problem on recovering the fast wave velocity from the boundary dynamical data (the response operator) is solved. The velocity is determined in the near-boundary domain, the depth of determination being proportional to the observation time. We use the BC-method, which is an approach to inverse problems based on their connections with boundary control theory.
Key words and phrases: inverse problems, Lame type system.
Received: 22.10.2019
Document Type: Article
UDC: 517.958, 517.956.32
Language: Russian
Citation: V. G. Fomenko, “Dynamical inverse problem for the Lame type system (the BC-method)”, Mathematical problems in the theory of wave propagation. Part 49, Zap. Nauchn. Sem. POMI, 483, POMI, St. Petersburg, 2019, 243–268
Citation in format AMSBIB
\Bibitem{Fom19}
\by V.~G.~Fomenko
\paper Dynamical inverse problem for the Lame type system (the BC-method)
\inbook Mathematical problems in the theory of wave propagation. Part~49
\serial Zap. Nauchn. Sem. POMI
\yr 2019
\vol 483
\pages 243--268
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6847}
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  • https://www.mathnet.ru/eng/znsl/v483/p243
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