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Mathematics of the USSR-Sbornik, 1974, Volume 22, Issue 2, Pages 257–270
DOI: https://doi.org/10.1070/SM1974v022n02ABEH002166
(Mi sm2972)
 

This article is cited in 2 scientific papers (total in 2 papers)

First order hyperbolic equations with constant operator coefficients

E. A. Fadeeva
References:
Abstract: This paper considers the Cauchy problem for a hyperbolic equation with constant operator coefficients in Hilbert space:
$$ \frac{\partial\psi}{\partial t}=\sum_{k=1}^n A_k\frac{\partial\psi}{\partial x_k}+B\psi, $$
where $A_k$ and $B$ are selfadjoint operators and $B$ is semibounded.
As an example we consider ultraparabolic systems.
Bibliography: 10 titles.
Received: 16.03.1973 and 06.08.1973
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1974, Volume 93(135), Number 2, Pages 254–267
Bibliographic databases:
UDC: 517.945
MSC: Primary 35L45; Secondary 35K45, 35R15, 47D05, 47B44
Language: English
Original paper language: Russian
Citation: E. A. Fadeeva, “First order hyperbolic equations with constant operator coefficients”, Mat. Sb. (N.S.), 93(135):2 (1974), 254–267; Math. USSR-Sb., 22:2 (1974), 257–270
Citation in format AMSBIB
\Bibitem{Fad74}
\by E.~A.~Fadeeva
\paper First order hyperbolic equations with constant operator coefficients
\jour Mat. Sb. (N.S.)
\yr 1974
\vol 93(135)
\issue 2
\pages 254--267
\mathnet{http://mi.mathnet.ru/sm2972}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=336091}
\zmath{https://zbmath.org/?q=an:0287.35067}
\transl
\jour Math. USSR-Sb.
\yr 1974
\vol 22
\issue 2
\pages 257--270
\crossref{https://doi.org/10.1070/SM1974v022n02ABEH002166}
Linking options:
  • https://www.mathnet.ru/eng/sm2972
  • https://doi.org/10.1070/SM1974v022n02ABEH002166
  • https://www.mathnet.ru/eng/sm/v135/i2/p254
  • 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
    Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Abstract page:525
    Russian version PDF:186
    English version PDF:9
    References:39
     
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