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Russian Academy of Sciences. Sbornik. Mathematics, 1994, Volume 77, Issue 1, Pages 177–192
DOI: https://doi.org/10.1070/SM1994v077n01ABEH003435 (Mi sm1079) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On the stabilization of solutions of weakly coupled cooperative parabolic systems

M. P. Vishnevskii
English version PDF (975 kB) Citations (2)
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DOI: https://doi.org/10.1070/SM1994v077n01ABEH003435
Abstract: In this work it is shown that almost all solutions of weakly coupled parabolic systems either stabilize or blow up. It is also shown, under an additional condition, that almost all solutions either blow up or become componentwise monotonic, starting from some instant.
Received: 13.05.1991 and 16.01.1992
Russian version:
Matematicheskii Sbornik, 1992, Volume 183, Number 10, Pages 45–62
Bibliographic databases:
UDC: 517.95
MSC: 35K45, 35K50, 35B40
Language: English
Original paper language: Russian
Citation: M. P. Vishnevskii, “On the stabilization of solutions of weakly coupled cooperative parabolic systems”, Mat. Sb., 183:10 (1992), 45–62; Russian Acad. Sci. Sb. Math., 77:1 (1994), 177–192
Citation in format AMSBIB
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\by M.~P.~Vishnevskii
\paper On the stabilization of solutions of weakly coupled cooperative parabolic systems
\jour Mat. Sb.
\yr 1992
\vol 183
\issue 10
\pages 45--62
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1202791}
\zmath{https://zbmath.org/?q=an:0806.35010}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1994SbMat..77..177V}
\transl
\jour Russian Acad. Sci. Sb. Math.
\yr 1994
\vol 77
\issue 1
\pages 177--192
\crossref{https://doi.org/10.1070/SM1994v077n01ABEH003435}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1994MZ10900011}
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  • https://doi.org/10.1070/SM1994v077n01ABEH003435
  • https://www.mathnet.ru/eng/sm/v183/i10/p45
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:363
    Russian version PDF:118
    English version PDF:20
    References:68
    First page:1
     
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