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Sbornik: Mathematics, 2013, Volume 204, Issue 3, Pages 323–346
DOI: https://doi.org/10.1070/SM2013v204n03ABEH004303 (Mi sm8097) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Solution blow-up for a class of parabolic equations with double nonlinearity

M. O. Korpusov

M. V. Lomonosov Moscow State University, Faculty of Physics
English version PDF (383 kB) Citations (5) Russian version article
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DOI: https://doi.org/10.1070/SM2013v204n03ABEH004303
Abstract: We consider a class of parabolic-type equations with double nonlinearity and derive sufficient conditions for finite time blow-up of its solutions in a bounded domain under the homogeneous Dirichlet condition. To prove the solution blow-up we use a modification of Levine's method.
Bibliography: 13 titles.
Keywords: finite time blow-up of the solution, parabolic equation with double nonlinearity, nonlinear mixed boundary value problem.
Funding agency Grant number
Russian Foundation for Basic Research 11-01-12018-офи-м
Received: 23.12.2011
Bibliographic databases:
Document Type: Article
UDC: 517.957
MSC: 35B60, 35K25
Language: English
Original paper language: Russian
Citation: M. O. Korpusov, “Solution blow-up for a class of parabolic equations with double nonlinearity”, Sb. Math., 204:3 (2013), 323–346
Citation in format AMSBIB
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\by M.~O.~Korpusov
\paper Solution blow-up for a~class of parabolic equations with double nonlinearity
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\yr 2013
\vol 204
\issue 3
\pages 323--346
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  • https://www.mathnet.ru/eng/sm/v204/i3/p19
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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