Existence and Regularity of a Global Attractor for Doubly Nonlinear Parabolic Equations
Date
2002-05-24
Authors
El Hachimi, Abderrahmane
El Ouardi, Hamid
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
In this paper we consider a doubly nonlinear parabolic partial differential equation
∂β(u)/ ∂t - Δpu + ƒ(x, t, u) = 0 in Ω x ℝ+,
with Dirichlet boundary condition and initial data given. We prove the existence of a global compact attractor by using a dynamical system approach. Under additional conditions on the nonlinearities β, ƒ, and on p, we prove more regularity for the global attractor and obtain stabilization results for the solutions.
Description
Keywords
p-Laplacian, a-Priori estimate, Long time behaviour, Dynamical system, Absorbing set, Global attractor
Citation
El Hachimi, A., & El Ouardi, H. (2002). Existence and regularity of a global attractor for doubly nonlinear parabolic equations. <i>Electronic Journal of Differential Equations, 2002</i>(45), pp. 1-15.
Rights
Attribution 4.0 International