Existence of entropy solutions to nonlinear degenerate parabolic problems with variable exponent and L1-data

Abdelali Sabri; Ahmed Jamea; Hamad Talibi Alaoui

doi:10.2478/cm-2020-0006

Abdelali Sabri ; Ahmed Jamea ; Hamad Talibi Alaoui - Existence of entropy solutions to nonlinear degenerate parabolic problems with variable exponent and L1-data

cm:9501 - Communications in Mathematics, July 9, 2020, Volume 28 (2020), Issue 1 - https://doi.org/10.2478/cm-2020-0006

Existence of entropy solutions to nonlinear degenerate parabolic problems with variable exponent and L1-dataArticle

Authors: Abdelali Sabri ¹; Ahmed Jamea ¹; Hamad Talibi Alaoui ¹

1 Université Chouaib Doukkali

In the present paper, we prove existence results of entropy solutions to a class of nonlinear degenerate parabolic p(·)-Laplacian problem with Dirichlet-type boundary conditions and L 1 data. The main tool used here is the Rothe method combined with the theory of variable exponent Sobolev spaces.

https://doi.org/10.2478/cm-2020-0006

Source: HAL:hal-03664982v1

Volume: Volume 28 (2020), Issue 1

Published on: July 9, 2020

Imported on: May 11, 2022

Keywords: [MATH]Mathematics [math]

Licence: Attribution-Non Commercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)