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Teoreticheskaya i Matematicheskaya Fizika, 2012, Volume 172, Number 3, Pages 339–343
DOI: https://doi.org/10.4213/tmf6957 (Mi tmf6957) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Solution blowup for the heat equation with double nonlinearity

M. O. Korpusov

Lomonosov Moscow State University, Moscow, Russia
Full-text PDF (351 kB) Citations (2)
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DOI: https://doi.org/10.4213/tmf6957
Abstract: We consider a model initial boundary value problem for the heat equation with double nonlinearity. We use a modified Levin method to prove the solution blowup.
Keywords: finite-time blowup, nonlinear heat conduction, nonlinear parabolic equation with double nonlinearity, nonlinear mixed boundary value problem.
Received: 23.12.2011
English version:
Theoretical and Mathematical Physics, 2012, Volume 172, Issue 3, Pages 1173–1176
DOI: https://doi.org/10.1007/s11232-012-0105-7
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. O. Korpusov, “Solution blowup for the heat equation with double nonlinearity”, TMF, 172:3 (2012), 339–343; Theoret. and Math. Phys., 172:3 (2012), 1173–1176
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf6957
  • https://doi.org/10.4213/tmf6957
  • https://www.mathnet.ru/eng/tmf/v172/i3/p339
    • This publication is cited in the following 2 articles:
    1. S. E. Aitzhanov, D. T. Zhanuzakova, “Behavior of solutions to an inverse problem for a quasilinear parabolic equation”, Sib. elektron. matem. izv., 16 (2019), 1393–1409  mathnet  crossref
    2. A. A. Kon'kov, “Blow-up of solutions for a class of nondivergence elliptic inequalities”, Comput. Math. Math. Phys., 57:3 (2017), 453–463  mathnet  crossref  crossref  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:821
    Full-text PDF :261
    References:104
    First page:41
     
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