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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}
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  • 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
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