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Zapiski Nauchnykh Seminarov POMI, 1998, Volume 250, Pages 300–318 (Mi znsl657)  
This article is cited in 3 scientific papers (total in 3 papers)

Exitation of the wave field in the triangular domain with impedance boundary conditions

A. V. Shanin

Saint-Petersburg State University
Full-text PDF (225 kB) Citations (3)
Abstract: The equation of Helmholtz in a close domain which is an equilateral triangle with nonhomogeneous impedance boundary conditions is considered. The functional equation in which an unknown function is Fourier-image of the wave field on the boundary of the domain is constracted. This functional equation is solved for the case of the homogeneous boundary conditions (the problem on eigenvalues) as well as for the case of the nonhomogeneous boundary conditions in the absence of the resonance.
Received: 07.10.1997
English version:
Journal of Mathematical Sciences (New York), 2000, Volume 102, Issue 4, Pages 4328–4338
DOI: https://doi.org/10.1007/BF02673863
Bibliographic databases:
UDC: 517.95+550.34+534.2
Language: Russian
Citation: A. V. Shanin, “Exitation of the wave field in the triangular domain with impedance boundary conditions”, Mathematical problems in the theory of wave propagation. Part 27, Zap. Nauchn. Sem. POMI, 250, POMI, St. Petersburg, 1998, 300–318; J. Math. Sci. (New York), 102:4 (2000), 4328–4338
Citation in format AMSBIB
\Bibitem{Sha98}
\by A.~V.~Shanin
\paper Exitation of the wave field in the triangular domain with impedance boundary conditions
\inbook Mathematical problems in the theory of wave propagation. Part~27
\serial Zap. Nauchn. Sem. POMI
\yr 1998
\vol 250
\pages 300--318
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl657}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1701873}
\zmath{https://zbmath.org/?q=an:0988.35048}
\transl
\jour J. Math. Sci. (New York)
\yr 2000
\vol 102
\issue 4
\pages 4328--4338
\crossref{https://doi.org/10.1007/BF02673863}
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    • 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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