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Sibirskii Matematicheskii Zhurnal, 2012, Volume 53, Number 4, Pages 874–891 (Mi smj2370)  
This article is cited in 6 scientific papers (total in 6 papers)

On blowup of solutions to a Kirchhoff type dissipative wave equation with a source and positive energy

M. O. Korpusov

M. V. Lomonosov Moscow State University, Faculty of Physics, Moscow
Full-text PDF (356 kB) Citations (6)
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Abstract: We examine an initial-boundary value problem for a generalized Kirchhoff type dissipative wave equation with a source. It is proven that, for a sufficiently large positive energy, some finite time blowup occurs which fact is proven by the modified Levin method.
Keywords: finite time blowup, generalized Klein–Gordon equation, nonlinear hyperbolic equation, nonlinear mixed boundary value problem, field theory.
Received: 11.07.2011
English version:
Siberian Mathematical Journal, 2012, Volume 53, Issue 4, Pages 702–717
DOI: https://doi.org/10.1134/S003744661204012X
Bibliographic databases:
Document Type: Article
UDC: 517.957
Language: Russian
Citation: M. O. Korpusov, “On blowup of solutions to a Kirchhoff type dissipative wave equation with a source and positive energy”, Sibirsk. Mat. Zh., 53:4 (2012), 874–891; Siberian Math. J., 53:4 (2012), 702–717
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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