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Izvestiya: Mathematics, 2002, Volume 66, Issue 1, Pages 1–40
DOI: https://doi.org/10.1070/IM2002v066n01ABEH000369 (Mi im369) 		 
This article is cited in 5 scientific papers (total in 5 papers)

On the global domain of influence of stable solutions with interior layers in the two-dimensional case

V. F. Butuzov, I. V. Nedelko

M. V. Lomonosov Moscow State University, Faculty of Physics
English version PDF (361 kB) Citations (5) Russian version article
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DOI: https://doi.org/10.1070/IM2002v066n01ABEH000369
Abstract: We consider the initial-boundary problem for the singularly perturbed non-stationary reaction-diffusion equation with non-linearity of cubic type. We impose conditions sufficient for the existence of a stable stationary solution with an interior transition layer in the neighbourhood of a certain curve. We investigate the set of initial functions belonging to the domain of influence of this solution.
Received: 20.03.2001
Bibliographic databases:
UDC: 517.956.226
MSC: 35J60, 35B45, 35B20, 35B25, 35J65, 35B35, 35C20
Language: English
Original paper language: Russian
Citation: V. F. Butuzov, I. V. Nedelko, “On the global domain of influence of stable solutions with interior layers in the two-dimensional case”, Izv. Math., 66:1 (2002), 1–40
Citation in format AMSBIB
\Bibitem{ButNed02}
\by V.~F.~Butuzov, I.~V.~Nedelko
\paper On the global domain of influence of stable solutions with interior layers in the two-dimensional case
\jour Izv. Math.
\yr 2002
\vol 66
\issue 1
\pages 1--40
\mathnet{http://mi.mathnet.ru/eng/im369}
\crossref{https://doi.org/10.1070/IM2002v066n01ABEH000369}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=1917535}
\zmath{https://zbmath.org/?q=an:1091.35037}
\elib{https://elibrary.ru/item.asp?id=14221247}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33748505683}
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    • This publication is cited in the following 5 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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