Semidiscretization for a Doubly Nonlinear Parabolic Equation Related to the p(x)-Laplacian

Hamid El Bahja; Abderrahmane El Hachimi; Ali Alami Idrissi

doi:10.1155/2019/6107841

International Journal of Differential Equations (Jan 2019)

Semidiscretization for a Doubly Nonlinear Parabolic Equation Related to the p(x)-Laplacian

Hamid El Bahja,
Abderrahmane El Hachimi,
Ali Alami Idrissi

Affiliations

Hamid El Bahja: Center of Mathematical Research and Applications of Rabat (CeReMAR), Laboratory of Mathematical Analysis and Applications (LAMA), Department of Mathematics, Faculty of Sciences, Mohammed V University, P.O. Box 1014, Rabat, Morocco
Abderrahmane El Hachimi: Center of Mathematical Research and Applications of Rabat (CeReMAR), Laboratory of Mathematical Analysis and Applications (LAMA), Department of Mathematics, Faculty of Sciences, Mohammed V University, P.O. Box 1014, Rabat, Morocco
Ali Alami Idrissi: Center of Mathematical Research and Applications of Rabat (CeReMAR), Laboratory of Mathematical Analysis and Applications (LAMA), Department of Mathematics, Faculty of Sciences, Mohammed V University, P.O. Box 1014, Rabat, Morocco

DOI: https://doi.org/10.1155/2019/6107841
Journal volume & issue: Vol. 2019

Abstract

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This paper studies a time discretization for a doubly nonlinear parabolic equation related to the p(x)-Laplacian by using Euler-forward scheme. We investigate existence, uniqueness, and stability questions and prove existence of the global compact attractor.

Published in International Journal of Differential Equations

ISSN: 1687-9643 (Print); 1687-9651 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/6314

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