Existence of global solutions and blow-up results for a class of  p(x)−Laplacian Heat equations with logarithmic nonlinearity

Lalmi Abdellatif; Toualbia Sarra (Co-Auteur); Laskri Yamina (Co-Auteur)

Existence of global solutions and blow-up results for a class of p(x)−Laplacian Heat equations with logarithmic nonlinearity

Files

LASKRI Yamina - Existence of global solutions and blow-up results for a class of p(x)−Laplacian Heat equations with logarithmic nonlinearity.pdf (399.82 KB)

Date

2023-03-19

Authors

Lalmi Abdellatif

Toualbia Sarra (Co-Auteur)

Laskri Yamina (Co-Auteur)

Publisher

Published by Faculty of Sciences and Mathematics, University of Niˇs, Serbia

Abstract

This paper’s main objective is to examine an initial boundary value problem of a quasilin ear parabolic equation of non-standard growth and logarithmic nonlinearity by utilizing the logarithmic Sobolev inequality and potential well method. Results of global existence, estimates of polynomial decay, and blowing up of weak solutions have been obtained under certain conditions that will be stated later. Our results extend those of a recent paper that appeared in the literature

URI

http://dspace.ensti-annaba.dz:4000/handle/123456789/795

Collections

Articles

Full item page