Zapiski Nauchnykh Seminarov POMI
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Zapiski Nauchnykh Seminarov POMI, 2014, Volume 426, Pages 218–259 (Mi znsl6039)  
This article is cited in 3 scientific papers (total in 3 papers)

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

V. G. Fomenko

St. Petersburg State University, St. Petersburg, Russia
Full-text PDF (380 kB) Citations (3)
References:
PDF
HTML
Abstract: In the paper, for a Lame-type system, the inverse problem on recovering the fast and slow wave velocities from the boundary dynamical data (the response operator) is solved. The velocities are 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, boundary control, response operator.
Received: 27.10.2014
English version:
Journal of Mathematical Sciences (New York), 2016, Volume 214, Issue 3, Pages 392–421
DOI: https://doi.org/10.1007/s10958-016-2785-2
Bibliographic databases:
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 44, Zap. Nauchn. Sem. POMI, 426, POMI, St. Petersburg, 2014, 218–259; J. Math. Sci. (N. Y.), 214:3 (2016), 392–421
Citation in format AMSBIB
\Bibitem{Fom14}
\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~44
\serial Zap. Nauchn. Sem. POMI
\yr 2014
\vol 426
\pages 218--259
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6039}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3485313}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2016
\vol 214
\issue 3
\pages 392--421
\crossref{https://doi.org/10.1007/s10958-016-2785-2}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84960437844}
Linking options:
  • https://www.mathnet.ru/eng/znsl6039
  • https://www.mathnet.ru/eng/znsl/v426/p218
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:362
    Full-text PDF :99
    References:78
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024