Fatiha Benzekri, Abderrahmane El Hachimi
Abstract:
This paper concerns the doubly nonlinear parabolic P.D.E.
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.
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Fatiha Benzekri UFR Mathématiques Appliquées et Industrielles Faculté des sciences B. P. 20, El Jadida, Maroc email: benzekri@ucd.ac.ma | |
Abderrahmane El Hachimi UFR Mathématiques Appliquées et Industrielles Faculté des Sciences B.P. 20, El Jadida, Maroc e-mail: elhachimi@ucd.ac.ma |
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