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Zapiski Nauchnykh Seminarov POMI, 2005, Volume 324, Pages 61–76 (Mi znsl363)  
This article is cited in 2 scientific papers (total in 2 papers)

Spectral function approach to the double wedges diffraction problem

V. V. Kamotskii

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (399 kB) Citations (2)
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Abstract: In this work the problem of diffraction by two wedges with ideal boundary conditions (Dirichlet or Neumann) is considered. Uniqueness is obtained in a general setting. Spectral functions approach turns out to be applicable under certain “narrowness” geometrical assumptions and leads to the existence of a solution.
Received: 10.05.2005
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 138, Issue 2, Pages 5514–5523
DOI: https://doi.org/10.1007/s10958-006-0319-z
Bibliographic databases:
UDC: 517
Language: Russian
Citation: V. V. Kamotskii, “Spectral function approach to the double wedges diffraction problem”, Mathematical problems in the theory of wave propagation. Part 34, Zap. Nauchn. Sem. POMI, 324, POMI, St. Petersburg, 2005, 61–76; J. Math. Sci. (N. Y.), 138:2 (2006), 5514–5523
Citation in format AMSBIB
\Bibitem{Kam05}
\by V.~V.~Kamotskii
\paper Spectral function approach to the double wedges diffraction problem
\inbook Mathematical problems in the theory of wave propagation. Part~34
\serial Zap. Nauchn. Sem. POMI
\yr 2005
\vol 324
\pages 61--76
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl363}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2159348}
\zmath{https://zbmath.org/?q=an:1096.35036}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2006
\vol 138
\issue 2
\pages 5514--5523
\crossref{https://doi.org/10.1007/s10958-006-0319-z}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33748577379}
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  • https://www.mathnet.ru/eng/znsl/v324/p61
    • 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
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