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Zapiski Nauchnykh Seminarov LOMI, 1990, Volume 186, Pages 122–133 (Mi znsl4853)  
This article is cited in 1 scientific paper (total in 1 paper)

On behavior of a nonstationary wave field with a singularity (the homogeneous generalized function) on the initial front near the caustic

N. Ya. Kirpichnikova
Full-text PDF (473 kB) Citations (1)
Abstract: Cauchy problem for the wave equation in the case of a discontinuity on the initial front is investigated. The discontinuity is discribed by the homogeneous generalized function of degree $\lambda$. The transformation of the initial front passing the space-time caustic is studied. The structure of the wave front and space-time roys near the caustic is established.
English version:
Journal of Mathematical Sciences, 1995, Volume 73, Issue 3, Pages 375–382
DOI: https://doi.org/10.1007/BF02362823
Bibliographic databases:
Document Type: Article
UDC: 534.22.094.1
Language: Russian
Citation: N. Ya. Kirpichnikova, “On behavior of a nonstationary wave field with a singularity (the homogeneous generalized function) on the initial front near the caustic”, Mathematical problems in the theory of wave propagation. Part 20, Zap. Nauchn. Sem. LOMI, 186, Nauka, St. Petersburg, 1990, 122–133; J. Math. Sci., 73:3 (1995), 375–382
Citation in format AMSBIB
\Bibitem{Kir90}
\by N.~Ya.~Kirpichnikova
\paper On behavior of a nonstationary wave field with a singularity (the~homogeneous generalized function) on the initial front near the caustic
\inbook Mathematical problems in the theory of wave propagation. Part~20
\serial Zap. Nauchn. Sem. LOMI
\yr 1990
\vol 186
\pages 122--133
\publ Nauka
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4853}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1098010}
\zmath{https://zbmath.org/?q=an:0835.35082|0755.35062}
\transl
\jour J. Math. Sci.
\yr 1995
\vol 73
\issue 3
\pages 375--382
\crossref{https://doi.org/10.1007/BF02362823}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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