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

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  • Hamid El Bahja
  • Abderrahmane El Hachimi
  • Ali Alami Idrissi

Abstract

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.

Suggested Citation

  • Hamid El Bahja & Abderrahmane El Hachimi & Ali Alami Idrissi, 2019. "Semidiscretization for a Doubly Nonlinear Parabolic Equation Related to the p(x)-Laplacian," International Journal of Differential Equations, Hindawi, vol. 2019, pages 1-8, April.
  • Handle: RePEc:hin:jnijde:6107841
    DOI: 10.1155/2019/6107841
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