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Sbornik: Mathematics, 2004, Volume 195, Issue 4, Pages 459–478
DOI: https://doi.org/10.1070/SM2004v195n04ABEH000812 (Mi sm812) 		 
This article is cited in 17 scientific papers (total in 17 papers)

Fujita type theorems for quasilinear parabolic equations with initial data slowly decaying to zero

N. V. Afanasieva, A. F. Tedeev

Institute of Applied Mathematics and Mechanics, Ukraine National Academy of Sciences
English version PDF (251 kB) Citations (17)
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DOI: https://doi.org/10.1070/SM2004v195n04ABEH000812
Abstract: This work deals with the Cauchy problem for a parabolic equation with a double non-linearity of the following type:
$$ u_t=\operatorname{div}(u^\alpha|Du|^{m-1}Du)+u^p, $$
where $0<m+\alpha \leqslant1$. Existence and non-existence results for global solutions of this problem with initial conditions that slowly decay to zero are established.
Received: 23.04.2002 and 22.08.2003
Russian version:
Matematicheskii Sbornik, 2004, Volume 195, Number 4, Pages 3–22
DOI: https://doi.org/10.4213/sm812
Bibliographic databases:
UDC: 517.946
MSC: Primary 35K65; Secondary 35B33, 35B40
Language: English
Original paper language: Russian
Citation: N. V. Afanasieva, A. F. Tedeev, “Fujita type theorems for quasilinear parabolic equations with initial data slowly decaying to zero”, Mat. Sb., 195:4 (2004), 3–22; Sb. Math., 195:4 (2004), 459–478
Citation in format AMSBIB
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    • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:86
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