Doubly nonlinear parabolic equations related to the p-Laplacian operator: Semi-discretization
Date
2003-11-11
Authors
Benzekri, Fatiha
El Hachimi, Abderrahmane
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
We study the doubly nonlinear parabolic equation
∂β(u)/ ∂t - Δpu + ƒ(x, t, u) = 0 in Ω x ℝ⁺,
with Dirichlet boundary conditions and initial data. We investigate a time-discretization of the continuous problem by the Euler forward scheme. In addition to proving existence, uniqueness and stability questions, we study the long time behavior of the solution to the discrete problem. We prove the existence of a global attractor, and obtain its regularity under additional conditions.
Description
Keywords
p-Laplacian, Nonlinear parabolic equations, Semi-discretization, Discrete dynamical system, Attractor
Citation
Benzekri, F., & El Hachimi, A. (2003). Doubly nonlinear parabolic equations related to the p-Laplacian operator: Semi-discretization. <i>Electronic Journal of Differential Equations, 2003</i>(113), pp. 1-14.
Rights
Attribution 4.0 International