Nonlinear unilateral parabolic problems in Musielak-Orlicz spaces with \(L^1\) data

DOI10.12775/TMNA.2018.007zbMath1394.35230OpenAlexW2806451897MaRDI QIDQ1668821

Sidi Mohamed Douiri, Mustafa Ait Khellou, Youssef El Hadfi

Publication date: 29 August 2018

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tmna/1527645618

zbMATH Keywords

entropy solutionsMusielak-Orlicz spacesnonlinear unilateral parabolic problems

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Unilateral problems for nonlinear parabolic equations and variational inequalities with nonlinear parabolic operators (35K86)

Related Items (1)

Existence of solutions to parabolic equation with \(L^1\) data in Musielak spaces

Cites Work

• An imbedding theorem for Musielak-Sobolev spaces
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• Inhomogeneous Orlicz-Sobolev spaces and nonlinear parabolic initial value problems
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• Inéquations variationnelles paraboliques fortement non linéaires
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• Strongly nonlinear parabolic equations with natural growth terms and \(L^1\) data in Orlicz spaces
• Almost everywhere convergence of the gradients of solutions to elliptic equations in Orlicz spaces and application
• ON NON-NEWTONIAN FLUIDS WITH A PROPERTY OF RAPID THICKENING UNDER DIFFERENT STIMULUS
• Existence results for a class of nonlinear parabolic equations in Orlicz spaces
• Existence of a solution for a class of nonlinear parabolic systems
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