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Zapiski Nauchnykh Seminarov POMI, 2006, Volume 332, Pages 138–148 (Mi znsl266)  
This article is cited in 3 scientific papers (total in 3 papers)

Limiting absorbtion principle in the problem of transparent wedge

N. V. Mokeeva

Saint-Petersburg State University
Full-text PDF (212 kB) Citations (3)
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Abstract: The problem of diffraction a plane wave by a transparent wedge is considered (the wave numbers inside the wedge and outside it are different). An absorbtion is introduced into the medium. The existence of the solution satisfying limiting absorbtion principle is proved. The existence theorem and possibility of passage to the limit are proved for respective equations.
Received: 23.05.2006
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 142, Issue 6, Pages 2597–2604
DOI: https://doi.org/10.1007/s10958-007-0147-9
Bibliographic databases:
UDC: 517.911
Language: Russian
Citation: N. V. Mokeeva, “Limiting absorbtion principle in the problem of transparent wedge”, Mathematical problems in the theory of wave propagation. Part 35, Zap. Nauchn. Sem. POMI, 332, POMI, St. Petersburg, 2006, 138–148; J. Math. Sci. (N. Y.), 142:6 (2007), 2597–2604
Citation in format AMSBIB
\Bibitem{Mok06}
\by N.~V.~Mokeeva
\paper Limiting absorbtion principle in the problem of transparent wedge
\inbook Mathematical problems in the theory of wave propagation. Part~35
\serial Zap. Nauchn. Sem. POMI
\yr 2006
\vol 332
\pages 138--148
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl266}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2252991}
\zmath{https://zbmath.org/?q=an:1097.76063}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2007
\vol 142
\issue 6
\pages 2597--2604
\crossref{https://doi.org/10.1007/s10958-007-0147-9}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34247249883}
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  • https://www.mathnet.ru/eng/znsl/v332/p138
    • 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
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