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Title: Large time behavior of solutions to a class of doubly nonlinear parabolic equations (English)
Author: Zhan, Huashui
Language: English
Journal: Applications of Mathematics
ISSN: 0862-7940
Volume: 53
Issue: 6
Year: 2008
Pages: 521-533
Summary lang: English
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Category: math
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Summary: We study the large time asymptotic behavior of solutions of the doubly degenerate parabolic equation $u_t=\mathop{{\rm div}} (u^{m-1}|Du|^{p-2}Du)-u^q$ with an initial condition $u(x,0)=u_0(x)$. Here the exponents $m$, $p$ and $q$ satisfy $m+p\geq 3$, $p>1$ and $q>m+p-2$. (English)
Keyword: degenerate parabolic equation
Keyword: large time asymptotic behavior
MSC: 35B40
MSC: 35K15
MSC: 35K55
MSC: 35K65
idZBL: Zbl 1199.35188
idMR: MR2469063
DOI: 10.1007/s10492-008-0039-4
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Date available: 2010-07-20T12:37:32Z
Last updated: 2015-05-17
Stable URL: http://hdl.handle.net/10338.dmlcz/140337
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