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Russian Academy of Sciences. Izvestiya Mathematics, 1994, Volume 43, Issue 3, Pages 443–453
DOI: https://doi.org/10.1070/IM1994v043n03ABEH001574 (Mi im825) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Asymptotic, as $t\to\infty$, of the solution of a nonlinear equation with weak dissipation and dispersion

P. I. Naumkin, I. A. Shishmarev
English version PDF (443 kB) Citations (1)
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DOI: https://doi.org/10.1070/IM1994v043n03ABEH001574
Abstract: The asymptotics as $t\to\infty$, uniformly with respect to $x\in R_1$, is found for a solution of a model nonlinear nonlocal evolution equation in the case of weak dissipation and dispersion. The leading term of the asymptotics has the same form as for the linearized equation.
Received: 24.02.1993
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 1993, Volume 57, Issue 6, Pages 52–63
Bibliographic databases:
UDC: 517.9+ 535.5
MSC: Primary 35Q53, 35B40; Secondary 76B15
Language: English
Original paper language: Russian
Citation: P. I. Naumkin, I. A. Shishmarev, “Asymptotic, as $t\to\infty$, of the solution of a nonlinear equation with weak dissipation and dispersion”, Izv. RAN. Ser. Mat., 57:6 (1993), 52–63; Russian Acad. Sci. Izv. Math., 43:3 (1994), 443–453
Citation in format AMSBIB
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\by P.~I.~Naumkin, I.~A.~Shishmarev
\paper Asymptotic, as $t\to\infty$, of the solution of a nonlinear equation with weak dissipation and dispersion
\jour Izv. RAN. Ser. Mat.
\yr 1993
\vol 57
\issue 6
\pages 52--63
\mathnet{http://mi.mathnet.ru/im825}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1256566}
\zmath{https://zbmath.org/?q=an:0820.35120}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1994IzMat..43..443N}
\transl
\jour Russian Acad. Sci. Izv. Math.
\yr 1994
\vol 43
\issue 3
\pages 443--453
\crossref{https://doi.org/10.1070/IM1994v043n03ABEH001574}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1994QK21500003}
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  • https://doi.org/10.1070/IM1994v043n03ABEH001574
  • https://www.mathnet.ru/eng/im/v57/i6/p52
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:276
    Russian version PDF:111
    English version PDF:13
    References:58
    First page:2
     
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