Long-time behavior for quasilinear parabolic equations involving weighted \(p\)-Laplacian operators
type: Item
instance of: scholarly article
title: Long-time behavior for quasilinear parabolic equations involving weighted \(p\)-Laplacian operators
zbMATH Open document ID: 1173.35024
author: Cung The Anh
author: Tran Dinh Ke
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2009-08-21T00:00:00Z
review text: The long-time behavior of solutions to \[ \frac{\partial u}{\partial t}-\nabla\cdot(\sigma(x)|\nabla u|^{p-2}\nabla u)+f(u)=g(x) \] is studied, when \(u=0\) on the lateral boundary. Also existence is considered.
reviewed by: Peter Lindqvist
Mathematics Subject Classification ID: 35B41
Mathematics Subject Classification ID: 35K65
Mathematics Subject Classification ID: 35D05
zbMATH DE Number: 5597834
zbMATH Keywords: quasilinear parabolic equation
zbMATH Keywords: \(m\)-semiflow
zbMATH Keywords: global solution
zbMATH Keywords: global attractor
zbMATH Keywords: compact embedding
zbMATH Keywords: weighted \(p\)-Laplacian
MaRDI profile type: Publication
full work available at URL: j.na.2009.02.125
OpenAlex ID: W1979978081
cites work: On a variational degenerate elliptic problem
cites work: Convergence towards attractors for a degenerate Ginzburg-Landau equation
cites work: On the dynamics of a degenerate parabolic equation: global bifurcation of stationary states and convergence
cites work: Global existence and long-time behavior of solutions to a class of degenerate parabolic equations
cites work: Q4003101
cites work: Q4704642
cites work: Q4425093
cites work: Global attractors for \(p\)-Laplacian equation
cites work: Infinite-dimensional dynamical systems in mechanics and physics.
cites work: Global attractors of a nonautonomous reaction-diffusion equation
cites work: Global Attractor of One Nonlinear Parabolic Equation
cites work: On the connectedness and asymptotic behaviour of solutions of reaction-diffusion systems
cites work: Q5708964
cites work: Q5890172
cites work: On attractors of multivalued semi-flows and differential inclusions
DOI: 10.1016/J.NA.2009.02.125
description: scientific article; zbMATH DE number 5597834