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Contemporary Mathematics. Fundamental Directions, 2011, Volume 39, Pages 141–150 (Mi cmfd177)  
This article is cited in 9 scientific papers (total in 9 papers)

On the absence of global solutions of the Korteweg–de Vries equation

S. I. Pohozaev

Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (130 kB) Citations (9)
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Abstract: This paper is devoted to the problem of existence of global solutions of the Korteweg–de Vries equation. For certain initial–boundary problems for the Korteweg–de Vries equation, we obtain necessary conditions of existence (in other words, sufficient conditions of nonexistence) of global solutions.
English version:
Journal of Mathematical Sciences, 2013, Volume 190, Issue 1, Pages 147–156
DOI: https://doi.org/10.1007/s10958-013-1250-8
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: S. I. Pohozaev, “On the absence of global solutions of the Korteweg–de Vries equation”, Partial differential equations, CMFD, 39, PFUR, M., 2011, 141–150; Journal of Mathematical Sciences, 190:1 (2013), 147–156
Citation in format AMSBIB
\Bibitem{Pok11}
\by S.~I.~Pohozaev
\paper On the absence of global solutions of the Korteweg--de~Vries equation
\inbook Partial differential equations
\serial CMFD
\yr 2011
\vol 39
\pages 141--150
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd177}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2830681}
\transl
\jour Journal of Mathematical Sciences
\yr 2013
\vol 190
\issue 1
\pages 147--156
\crossref{https://doi.org/10.1007/s10958-013-1250-8}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84874948997}
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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