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Sibirskii Matematicheskii Zhurnal, 2005, Volume 46, Number 3, Pages 567–578 (Mi smj988)  
This article is cited in 6 scientific papers (total in 6 papers)

On blowup of a solution to a Sobolev-type equation with a nonlocal source

M. O. Korpusov, A. G. Sveshnikov

M. V. Lomonosov Moscow State University, Faculty of Physics
Full-text PDF (226 kB) Citations (6)
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Abstract: We consider the initial-boundary value problem for a dissipative nonlinear wave equation of the Sobolev type with a nonlocal cubic source. For this problem we obtain a sufficient condition for blowup of a strong generalized solution. Moreover, we obtain a two-sided estimate for the blowup time of the solution.
Keywords: pseudoparabolic equation, blowup, double nonlinearity, nonlocal nonlinearity.
Received: 29.10.2004
English version:
Siberian Mathematical Journal, 2005, Volume 46, Issue 3, Pages 443–452
DOI: https://doi.org/10.1007/s11202-005-0047-5
Bibliographic databases:
UDC: 517.957
Language: Russian
Citation: M. O. Korpusov, A. G. Sveshnikov, “On blowup of a solution to a Sobolev-type equation with a nonlocal source”, Sibirsk. Mat. Zh., 46:3 (2005), 567–578; Siberian Math. J., 46:3 (2005), 443–452
Citation in format AMSBIB
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\by M.~O.~Korpusov, A.~G.~Sveshnikov
\paper On blowup of a solution to a Sobolev-type equation with a~nonlocal source
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\vol 46
\issue 3
\pages 567--578
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\zmath{https://zbmath.org/?q=an:1094.35066}
\elib{https://elibrary.ru/item.asp?id=13697872}
\transl
\jour Siberian Math. J.
\yr 2005
\vol 46
\issue 3
\pages 443--452
\crossref{https://doi.org/10.1007/s11202-005-0047-5}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000229958200008}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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