The asymptotic behavior of solutions for a class of doubly degenerate nonlinear parabolic equations
type: Item
instance of: scholarly article
title: The asymptotic behavior of solutions for a class of doubly degenerate nonlinear parabolic equations
zbMATH Open document ID: 1198.35133
published in: Journal of Mathematical Analysis and Applications
publication date: 2010-07-20T00:00:00Z
review text: The author, by assuming the uniqueness of the Barenblatt-type solution (this result is not known in the general case), studies the large time asymptotic behavior of solutions for the doubly degenerate parabolic equation \[ u_t=\text{div}(|Du^m|^{p - 2}Du^m) - |Du^m|^{p_{1}} - u^q \] with initial condition \(u(x,0)= u_0(x)\). Where the exponents \(m,p,p_1,q\) satisfy \(p>p_1> p-1\), \(q>m(p-1)>1\), \(p>1\), \(m>1\).
reviewed by: Vincenzo Vespri
Mathematics Subject Classification ID: 35K65
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35K59
Mathematics Subject Classification ID: 35K15
zbMATH DE Number: 5757932
zbMATH Keywords: degenerate parabolic equation
zbMATH Keywords: asymptotic behavior
zbMATH Keywords: Barenblatt-type solution
author: Huashui Zhan
MaRDI profile type: Publication
full work available at URL: j.jmaa.2010.05.003
OpenAlex ID: W2027774731
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DOI: 10.1016/J.JMAA.2010.05.003
description: scientific article; zbMATH DE number 5757932