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Sibirskii Matematicheskii Zhurnal, 2001, Volume 42, Number 6, Pages 1278–1299 (Mi smj1386)  
This article is cited in 4 scientific papers (total in 4 papers)

On solvability of boundary value problems for the wave equation with a nonlinear dissipation in noncylindrical domains

A. I. Kozhanova, N. A. Lar'kinb

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
b Institute of Theoretical and Applied Mechanics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (287 kB) Citations (4)
Abstract: Solvability in noncylindrical domains is studied for some analogs of the first initial-boundary value problem for the wave equation with nonlinear increasing lower-order terms. Considered are the cases of domains that expand or contract with the growth of time. Alongside the existence theorems for regular solutions of boundary value problems some results are presented on the behavior of the energy norm of a solution as $t\to\infty$.
Received: 18.03.2000
English version:
Siberian Mathematical Journal, 2001, Volume 42, Issue 6, Pages 1062–1081
DOI: https://doi.org/10.1023/A:1012888425908
Bibliographic databases:
UDC: 517.95
Language: Russian
Citation: A. I. Kozhanov, N. A. Lar'kin, “On solvability of boundary value problems for the wave equation with a nonlinear dissipation in noncylindrical domains”, Sibirsk. Mat. Zh., 42:6 (2001), 1278–1299; Siberian Math. J., 42:6 (2001), 1062–1081
Citation in format AMSBIB
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\by A.~I.~Kozhanov, N.~A.~Lar'kin
\paper On solvability of boundary value problems for the wave equation with a~nonlinear dissipation in noncylindrical domains
\jour Sibirsk. Mat. Zh.
\yr 2001
\vol 42
\issue 6
\pages 1278--1299
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1876815}
\zmath{https://zbmath.org/?q=an:0988.35102}
\transl
\jour Siberian Math. J.
\yr 2001
\vol 42
\issue 6
\pages 1062--1081
\crossref{https://doi.org/10.1023/A:1012888425908}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000172981200005}
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  • https://www.mathnet.ru/eng/smj/v42/i6/p1278
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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