Semidiscretization for a doubly nonlinear parabolic equation related to the \({p(x)}\)-Laplacian

DOI10.1155/2019/6107841zbMath1442.65158OpenAlexW2939861968WikidataQ115243908 ScholiaQ115243908MaRDI QIDQ2282955

Ali Alami Idrissi, Hamid El Bahja, Abderrahmane El Hachimi

Publication date: 23 December 2019

Published in: International Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2019/6107841

zbMATH Keywords

nonlinear parabolic equationsemidiscretizationEuler-forward schemeexistence, uniqueness, stability

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Flows in porous media; filtration; seepage (76S05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Bifurcations in context of PDEs (35B32) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

• Lebesgue and Sobolev spaces with variable exponents
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• Doubly nonlinear parabolic equations involving variable exponents
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• Sobolev embedding theorems for spaces \(W^{k,p(x)}(\Omega)\)
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
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