Renormalized solution for a nonlinear parabolic problems with noncoercivity in divergence form in Orlicz spaces

DOI10.1016/j.amc.2014.10.026zbMath1338.35257OpenAlexW1979212995MaRDI QIDQ298593

S. Hadj Nassar, H. Moussa, Mohamed Rhoudaf

Publication date: 21 June 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.10.026

zbMATH Keywords

Orlicz-Sobolev spacesnoncoercive problemsparabolic problemsrenormalized solutions

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61)

Related Items (14)

Capacity solution to a coupled system of parabolic-elliptic equations in Orlicz-Sobolev spaces ⋮ Renormalized solutions to parabolic equations in time and space dependent anisotropic Musielak-Orlicz spaces in absence of Lavrentiev's phenomenon ⋮ Existence of solutions to parabolic equation with \(L^1\) data in Musielak spaces ⋮ Unnamed Item ⋮ Study of some non-linear elliptic problems with no continuous lower order terms in Orlicz spaces ⋮ Unnamed Item ⋮ Renormalized solutions to nonlinear parabolic problems in generalized Musielak-Orlicz spaces ⋮ Existence results for a perturbed Dirichlet problem without sign condition in Orlicz spaces ⋮ Entropy solutions for nonlinear parabolic equations with nonstandard growth in non-reflexive Orlicz spaces ⋮ Existence results for a non-linear obstacle parabolic semicoercive problems with lower order term ⋮ Entropy solutions to parabolic equations in Musielak framework involving non coercivity term in divergence form ⋮ Existence of weak solutions to an elliptic-parabolic equation with variable order of nonlinearity ⋮ Well-posedness of parabolic equations in the non-reflexive and anisotropic Musielak-Orlicz spaces in the class of renormalized solutions ⋮ Entropy solutions for a nonlinear parabolic problems with lower order term in Orlicz spaces

Cites Work

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• Some approximation properties in Orlicz-Sobolev spaces
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• Existence et unicité de la solution renormalisée d'un problème parabolique non linéaire assez général
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