Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki
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



Zh. Vychisl. Mat. Mat. Fiz.:
Year:
Volume:
Issue:
Page:
Find






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


Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2006, Volume 46, Number 12, Pages 2228–2234 (Mi zvmmf369)  

This article is cited in 2 scientific papers (total in 2 papers)

Solution to the boundary value problem for an arbitrary elliptic operator subject to a radiation condition

A. N. Bogolyubov, M. D. Malykh, Yu. V. Mukhartova

Faculty of Physics, Moscow State University, Leninskie gory, Moscow, 119992, Russia
Full-text PDF (811 kB) Citations (2)
Abstract: It is shown that the generalized Fourier transform can be extended to an arbitrary elliptic operator in a cylindrical domain with a Robin boundary condition. In this case, the existence of the Fourier image is a completely correct radiation condition determining a solution to the problem that is a superposition of waves traveling away from the source.
Key words: boundary value problem for an arbitrary elliptic operator, radiation condition, generalized Fourier transform, waves traveling outward from a source.
Received: 26.05.2006
English version:
Computational Mathematics and Mathematical Physics, 2006, Volume 46, Issue 12, Pages 2129–2135
DOI: https://doi.org/10.1134/S0965542506120116
Bibliographic databases:
Document Type: Article
UDC: 519.633
Language: Russian
Citation: A. N. Bogolyubov, M. D. Malykh, Yu. V. Mukhartova, “Solution to the boundary value problem for an arbitrary elliptic operator subject to a radiation condition”, Zh. Vychisl. Mat. Mat. Fiz., 46:12 (2006), 2228–2234; Comput. Math. Math. Phys., 46:12 (2006), 2129–2135
Citation in format AMSBIB
\Bibitem{BogMalMuk06}
\by A.~N.~Bogolyubov, M.~D.~Malykh, Yu.~V.~Mukhartova
\paper Solution to the boundary value problem for an arbitrary elliptic operator subject to a~radiation condition
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2006
\vol 46
\issue 12
\pages 2228--2234
\mathnet{http://mi.mathnet.ru/zvmmf369}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2344968}
\transl
\jour Comput. Math. Math. Phys.
\yr 2006
\vol 46
\issue 12
\pages 2129--2135
\crossref{https://doi.org/10.1134/S0965542506120116}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33846155562}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf369
  • https://www.mathnet.ru/eng/zvmmf/v46/i12/p2228
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024