Parabolic inequalities in inhomogeneous Orlicz-Sobolev spaces with gradients constraints and L1-data

Sana Ajagjal

doi:10.2478/mjpaa-2022-0023

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Parabolic inequalities in inhomogeneous Orlicz-Sobolev spaces with gradients constraints and L1-data

Moroccan Journal of Pure and Applied Analysis

Volume 8 (2022): Issue 3 (September 2022)

By: Sana Ajagjal

Open Access

|Oct 2022

Abstract

This work is devoted to the study of a new class of parabolic problems in inhomogeneous Orlicz spaces with gradient constraints and L¹-data. One proves the existence of the solution by studying the asymptotic behaviour as p goes to ∞, of a sequence of entropy solutions (u_p) of some nonlinear parabolic equation in inhomogeneous Orlicz-Sobolev spaces with L¹-data involving the parameter p.

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