A global attractor for a p ( x ) -Laplacian parabolic problem

In this work we study the asymptotic behavior of a p ( x ) -Laplacian parabolic problem of the form u t − Δ p ( x ) ( u ) = B ( u ) in a bounded smooth domain Ω in R N under Dirichlet boundary conditions. We prove, under suitable assumptions, the existence of a compact invariant global B -attractor...

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Bibliographic Details
Published in:Nonlinear analysis 2010-11, Vol.73 (10), p.3278-3283
Main Author: Simsen, Jacson
Format: Article
Language:English
Subjects:
[formula omitted]-Laplacian
Asymptotic properties
Attractors
Boundary conditions
Dirichlet problem
Exact sciences and technology
Global analysis, analysis on manifolds
Invariants
Mathematical analysis
Mathematics
Nonlinearity
Ordinary differential equations
Parabolic problems
Sciences and techniques of general use
Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
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Summary:In this work we study the asymptotic behavior of a p ( x ) -Laplacian parabolic problem of the form u t − Δ p ( x ) ( u ) = B ( u ) in a bounded smooth domain Ω in R N under Dirichlet boundary conditions. We prove, under suitable assumptions, the existence of a compact invariant global B -attractor in L 2 ( Ω ) .
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2010.06.087