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Mathematics of the USSR-Sbornik, 1991, Volume 69, Issue 2, Pages 479–496
DOI: https://doi.org/10.1070/SM1991v069n02ABEH001245 (Mi sm1178) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On the growing solutions of the strongly degenerate hyperbolic systems

A. V. Deryabina
English version PDF (654 kB) Citations (2)
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DOI: https://doi.org/10.1070/SM1991v069n02ABEH001245
Abstract: The author studies questions on the existence and uniqueness of generalized solutions of a problem with incomplete initial conditions for symmetric degenerate hyperbolic systems of first order with possible growth of the coefficients of the spatial part.
Sharp theorems are proved for the existence and uniqueness of generalized solutions in classes of functions which become unbounded on approach to regions of degeneracy and singularity.
Received: 04.11.1988
Russian version:
Matematicheskii Sbornik, 1990, Volume 181, Number 4, Pages 447–463
Bibliographic databases:
UDC: 517.956
MSC: 35L80, 35D05, 35L45, 35B40
Language: English
Original paper language: Russian
Citation: A. V. Deryabina, “On the growing solutions of the strongly degenerate hyperbolic systems”, Mat. Sb., 181:4 (1990), 447–463; Math. USSR-Sb., 69:2 (1991), 479–496
Citation in format AMSBIB
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\by A.~V.~Deryabina
\paper On the growing solutions of the strongly degenerate hyperbolic systems
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\yr 1990
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\pages 447--463
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\transl
\jour Math. USSR-Sb.
\yr 1991
\vol 69
\issue 2
\pages 479--496
\crossref{https://doi.org/10.1070/SM1991v069n02ABEH001245}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1991GB41500011}
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  • https://doi.org/10.1070/SM1991v069n02ABEH001245
  • https://www.mathnet.ru/eng/sm/v181/i4/p447
    • 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 - 1989–1990 Sbornik: Mathematics
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    Abstract page:272
    Russian version PDF:77
    English version PDF:8
    References:49
    First page:1
     
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