Existence of a renormalized solution for a class of nonlinear parabolic equations in Orlicz spaces - Concepedia

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Existence of a renormalized solution for a class of nonlinear parabolic equations in Orlicz spaces

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2009

Year

Elhoussine Azroul, Hicham Redwane, M. Rhoudaf

Portugaliae Mathematica

Elliptic EquationRiemann-hilbert ProblemGrowth AssumptionParabolic EquationNonlinear Parabolic EquationsNonlinear Hyperbolic ProblemHyperbolic EquationFunctional AnalysisRenormalized SolutionOrlicz SpacesNonlinear Functional Analysis

Abstract

An existence result for a solution of a class of nonlinear parabolic equations in Orlicz spaces is established. The data belongs to L1, no growth assumption is made on the nonlinearities and the N-function does not satisfy the Δ2 condition.