2004-Fez conference on Differential Equations and Mechanics.
Electronic Journal of Differential Equations,
Conference 11, 2004, pp. 61-70.

Title: Doubly nonlinear parabolic equations related to the
       p-Laplacian operator

Authors: Fatiha Benzekri (Faculte des sciences, Maroc)
         Abderrahmane El Hachimi (Faculte des sciences, Maroc)
 
Abstract: 
 This paper concerns the doubly nonlinear parabolic P.D.E.
  $$
  \frac{\partial\beta(u)}  {\partial t}-\Delta_p u + f(x,t,u )= 0
 \quad \hbox{ in } \Omega\times\mathbb{R}^+,
  $$
 with Dirichlet boundary conditions and initial data.
 We investigate here a time-discretization of the continuous
 problem by the Euler forward scheme.  In addition to
 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
 regularity results under certain restrictions.

Published October 15, 2004.
Math Subject Classifications: 35K15, 35K60, 35J60.
Key Words: p-Laplacian; nonlinear parabolic equations;
  semi-discretization;  discrete dynamical system; attractor.