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Sibirskii Matematicheskii Zhurnal, 2009, Volume 50, Number 1, Pages 19–27 (Mi smj1933)  
This article is cited in 6 scientific papers (total in 7 papers)

Hyperbolic systems equivalent to the wave equation

V. M. Gordienko

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (250 kB) Citations (7)
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Abstract: Some relation along an additional characteristic is constructed for a class of Friedrichs hyperbolic systems to which the wave equation is reduced. The statement is proven about preservation of a vortex. The conditions are stated for the solutions to Friedrichs hyperbolic systems of this class to remain solutions to the initial wave equation.
Keywords: wave equation, Friedrichs hyperbolic system.
Received: 09.10.2007
English version:
Siberian Mathematical Journal, 2009, Volume 50, Issue 1, Pages 14–21
DOI: https://doi.org/10.1007/s11202-009-0002-y
Bibliographic databases:
UDC: 517.956.32
Language: Russian
Citation: V. M. Gordienko, “Hyperbolic systems equivalent to the wave equation”, Sibirsk. Mat. Zh., 50:1 (2009), 19–27; Siberian Math. J., 50:1 (2009), 14–21
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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