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, 2015, Volume 438, Pages 104–117 (Mi znsl6187)  
This article is cited in 3 scientific papers (total in 3 papers)

On inverse source problem for wave equation

M. N. Demchenko

St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
Full-text PDF (222 kB) Citations (3)
References:
PDF
HTML
Abstract: We study the question of identification of initial data in the Cauchy problem for the wave equation with variable velocity. The wave field on some surface in the time-space is assumed to be known. Under some assumptions concerning the velocity it is shown that some part of singularities of initial data can be recovered.
Key words and phrases: inverse source problem, wave equation, Fourier integral operators.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-31388 мол-а
15-31-20600 мол-а-вед
14-01-00535
Saint Petersburg State University 6.38.670.2013
Received: 09.11.2015
English version:
Journal of Mathematical Sciences (New York), 2017, Volume 224, Issue 1, Pages 69–78
DOI: https://doi.org/10.1007/s10958-017-3395-3
Bibliographic databases:
Document Type: Article
UDC: 517.951
Language: Russian
Citation: M. N. Demchenko, “On inverse source problem for wave equation”, Mathematical problems in the theory of wave propagation. Part 45, Zap. Nauchn. Sem. POMI, 438, POMI, St. Petersburg, 2015, 104–117; J. Math. Sci. (N. Y.), 224:1 (2017), 69–78
Citation in format AMSBIB
\Bibitem{Dem15}
\by M.~N.~Demchenko
\paper On inverse source problem for wave equation
\inbook Mathematical problems in the theory of wave propagation. Part~45
\serial Zap. Nauchn. Sem. POMI
\yr 2015
\vol 438
\pages 104--117
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6187}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=3501070}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2017
\vol 224
\issue 1
\pages 69--78
\crossref{https://doi.org/10.1007/s10958-017-3395-3}
Linking options:
  • https://www.mathnet.ru/eng/znsl6187
  • https://www.mathnet.ru/eng/znsl/v438/p104
    • 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
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025