Parabolic inequalities in inhomogeneous Orlicz-Sobolev spaces with gradients constraints and <i>L</i> <sup>1</sup>-data-Reference-Cited by-同舟云学术

Parabolic inequalities in inhomogeneous Orlicz-Sobolev spaces with gradients constraints and L ¹-data

Published:2022-09-01 Issue:3 Volume:8 Page:328-357
ISSN:2351-8227
Container-title:Moroccan Journal of Pure and Applied Analysis
language:en
Short-container-title:

Author:

Ajagjal Sana¹

Affiliation:

1. Ecole Supérieure de Technologie d’Essaouira , Université Cadi Ayyad , B.P. 383 Essaouira El Jadida, Essaouira , Morocco

Abstract

Abstract This work is devoted to the study of a new class of parabolic problems in inhomogeneous Orlicz spaces with gradient constraints and L 1-data. One proves the existence of the solution by studying the asymptotic behaviour as p goes to ∞, of a sequence of entropy solutions (up ) of some nonlinear parabolic equation in inhomogeneous Orlicz-Sobolev spaces with L 1-data involving the parameter p.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Control and Optimization,Numerical Analysis,Analysis

Link

https://www.sciendo.com/pdf/10.2478/mjpaa-2022-0023

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