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Sbornik: Mathematics, 2008, Volume 199, Issue 4, Pages 539–556
DOI: https://doi.org/10.1070/SM2008v199n04ABEH003932 (Mi sm3864) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Asymptotic behaviour of solutions of semilinear parabolic equations

Yu. V. Egorova, V. A. Kondratievb

a Université Paul Sabatier
b M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
English version PDF (289 kB) Citations (2)
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DOI: https://doi.org/10.1070/SM2008v199n04ABEH003932
Abstract: The asymptotic behaviour of solutions of a second-order semilinear parabolic equation is analyzed in a cylindrical domain that is bounded in the space variables. The dominant term of the asymptotic expansion of the solution as $t\to+\infty$ is found. It is shown that the solution of this problem is asymptotically equivalent to the solution of a certain non-linear ordinary differential equation.
Bibliography: 8 titles.
Received: 07.05.2007 and 27.09.2007
Russian version:
Matematicheskii Sbornik, 2008, Volume 199, Number 4, Pages 65–82
DOI: https://doi.org/10.4213/sm3864
Bibliographic databases:
UDC: 517.956.45
MSC: 35K55, 35B40
Language: English
Original paper language: Russian
Citation: Yu. V. Egorov, V. A. Kondratiev, “Asymptotic behaviour of solutions of semilinear parabolic equations”, Mat. Sb., 199:4 (2008), 65–82; Sb. Math., 199:4 (2008), 539–556
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/sm/v199/i4/p65
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:91
    First page:21
     
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