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 284
Non linear parabolic problem with fractional diffusion and non local gradient
Siham Boukarabila, Boumediene Abdellaoui, El Haj Laamri
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 29, 2022
March 03, 2246
April 15, 2246

Abstract: Our work deals with the nonlocal version of Hamilton-Jacobi equation with nonlocal gradient term. By (-Δ)s we denote the fractional Laplacian given with Our aim is to show under which conditions on the given data and the exponent p, q we get the existence of a nonnegative weak solution for the system (1). In some particular cases, we are able to prove that these conditions are optimal.