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Russian Universities Reports. Mathematics, 2019, Volume 24, Issue 125, Pages 99–111
DOI: https://doi.org/10.20310/1810-0198-2019-24-125-99-111 (Mi vtamu101) 		 
Scientific articles

Decay of the solutions of the generalized Korteweg–de Vries equation at large times

A. A. Nikolayev

RUDN University
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DOI: https://doi.org/10.20310/1810-0198-2019-24-125-99-111
Abstract: In this paper the existence of weak solutions of the nonlinear generalized KdV equation is shown and conditions for which weak solutions decay to zero at large times are obtained.
Keywords: Korteweg–de Vries equation; initial-boundary problem; weak solution; decay.
Received: 10.01.2019
Bibliographic databases:
Document Type: Article
UDC: 517.957.6
Language: Russian
Citation: A. A. Nikolayev, “Decay of the solutions of the generalized Korteweg–de Vries equation at large times”, Russian Universities Reports. Mathematics, 24:125 (2019), 99–111
Citation in format AMSBIB
\Bibitem{Nik19}
\by A.~A.~Nikolayev
\paper Decay of the solutions of the generalized Korteweg--de Vries equation at large times
\jour Russian Universities Reports. Mathematics
\yr 2019
\vol 24
\issue 125
\pages 99--111
\mathnet{http://mi.mathnet.ru/vtamu101}
\crossref{https://doi.org/10.20310/1810-0198-2019-24-125-99-111}
\elib{https://elibrary.ru/item.asp?id=37526684}
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