Some results on existence and regularity for non-linear p(x)-parabolic equations with quadratic growth with respect to the gradient and general data-Reference-Cited by-同舟云学术

Some results on existence and regularity for non-linear p(x)-parabolic equations with quadratic growth with respect to the gradient and general data

Published:2023 Issue:22 Volume:37 Page:7559-7579
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Sabiry Abdelaziz¹,Zineddaine Ghizlane¹,Melliani Said¹,Kassidi Abderrazak¹

Affiliation:

1. Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Université Sultan Moulay Slimane, Beni Mellal, Morocco

Abstract

This work investigates the regularity of solutions to a nonlinear parabolic equation with perturbations and general measure data. Our approach involves a combination of convergence and compactness techniques in variable exponent Sobolev spaces.

Publisher

National Library of Serbia

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