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Mathematics of the USSR-Sbornik, 1989, Volume 63, Issue 1, Pages 181–203
DOI: https://doi.org/10.1070/SM1989v063n01ABEH003267 (Mi sm1695) 		 
This article is cited in 16 scientific papers (total in 16 papers)

On qualitative properties of solutions of some hyperbolic systems on the plane

N. A. Ëltysheva
English version PDF (1135 kB) Citations (16) Russian version article
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DOI: https://doi.org/10.1070/SM1989v063n01ABEH003267
Abstract: This paper substantiates the linearization principle in the case of mixed problems for autonomous hyperbolic systems with one space variable. A class of boundary conditions is singled out, whose existence is a necessary and sufficient condition for raising the smoothness of a solution of the corresponding mixed problem for the linear homogeneous system.
Bibliography: 15 titles.
Received: 20.10.1986
Bibliographic databases:
UDC: 517.956.3
MSC: Primary 35L50, 35B65; Secondary 35B35, 35B45
Language: English
Original paper language: Russian
Citation: N. A. Ëltysheva, “On qualitative properties of solutions of some hyperbolic systems on the plane”, Math. USSR-Sb., 63:1 (1989), 181–203
Citation in format AMSBIB
\Bibitem{Elt88}
\by N.~A.~\"Eltysheva
\paper On qualitative properties of solutions of some hyperbolic systems on the plane
\jour Math. USSR-Sb.
\yr 1989
\vol 63
\issue 1
\pages 181--203
\mathnet{http://mi.mathnet.ru//eng/sm1695}
\crossref{https://doi.org/10.1070/SM1989v063n01ABEH003267}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=937806}
\zmath{https://zbmath.org/?q=an:0669.35071|0659.35064}
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  • https://www.mathnet.ru/eng/sm/v177/i2/p186
    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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