Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 26
Rothe time-discretization method for a nonlinear parabolic p(u)-Laplacian problem with Fourier-type boundary condition and L1-data
Abdelali Sabri
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
December 08, 2021
March 03, 2041
April 15, 2041

Abstract: In this communication, we prove the existence and uniqueness results of entropy solutions to a class of nonlinear parabolic p(u)-Laplacian problem with Fourier-type boundary condition and L1-data. The main tool used here is the Rothe method combined with the theory of variable exponent Sobolev spaces.