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Sibirskii Matematicheskii Zhurnal, 2004, Volume 45, Number 1, Pages 189–200 (Mi smj1058)  
This article is cited in 32 scientific papers (total in 32 papers)

Conditions for the time global existence and nonexistence of a compact support of solutions to the Cauchy problem for quasilinear degenerate parabolic equations

A. F. Tedeev

Institute of Applied Mathematics and Mechanics, Ukraine National Academy of Sciences
Full-text PDF (229 kB) Citations (32)
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Abstract: We study a quasilinear degenerate parabolic equation with a nonhomogeneous density. We establish that depending on the behavior of the density at infinity either a solution to the Cauchy problem possesses the property that the speed of propagation of perturbations is finite or the support blows up in finite time.
Keywords: quasilinear degenerate parabolic equation, nonhomogeneous density, blow-up.
Received: 17.05.2002
English version:
Siberian Mathematical Journal, 2004, Volume 45, Issue 1, Pages 155–164
DOI: https://doi.org/10.1023/B:SIMJ.0000013021.66528.b6
Bibliographic databases:
UDC: 517.946
Language: Russian
Citation: A. F. Tedeev, “Conditions for the time global existence and nonexistence of a compact support of solutions to the Cauchy problem for quasilinear degenerate parabolic equations”, Sibirsk. Mat. Zh., 45:1 (2004), 189–200; Siberian Math. J., 45:1 (2004), 155–164
Citation in format AMSBIB
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\transl
\jour Siberian Math. J.
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\pages 155--164
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    • This publication is cited in the following 32 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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