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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2010, Volume 7, Pages 413–424 (Mi semr251)  
This article is cited in 1 scientific paper (total in 1 paper)

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The increasing smoothness property of solutions to some hyperbolic problems in two independent variables

N. A. Lyul'ko

Sobolev Institute of Mathematics, Novosibirsk, Russia
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Abstract: The initial-boundary problems for first-order hyperbolic systems and for the wave equation are considered in the half-strip $\Pi=\{(x,t):0<x<1$, $t>0\}$. Boundary conditions which guarantee the increasing of smoothness of the solutions to the considered problems as $t$ grows are formulated.
Keywords: first-order hyperbolic systems on the plane, wave equation, initial-boundary problems, increasing smoothness of the solutions.
Received January 25, 2010, published November 11, 2010
Bibliographic databases:
Document Type: Article
UDC: 517.956.3
MSC: 35L50, 35B65
Language: English
Citation: N. A. Lyul'ko, “The increasing smoothness property of solutions to some hyperbolic problems in two independent variables”, Sib. Èlektron. Mat. Izv., 7 (2010), 413–424
Citation in format AMSBIB
\Bibitem{Lyu10}
\by N.~A.~Lyul'ko
\paper The increasing smoothness property of solutions to some hyperbolic problems in two independent variables
\jour Sib. \`Elektron. Mat. Izv.
\yr 2010
\vol 7
\pages 413--424
\mathnet{http://mi.mathnet.ru/semr251}
\elib{https://elibrary.ru/item.asp?id=15522160}
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