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 346
A nonlocal Kardar–Parisi–Zhang system
Abdelbadie Younes
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 30, 2022
March 03, 2296
April 15, 2296

Abstract: We study, in this work, a class of nonlinear fractional systems of KPZ-type with variant forms of a non local gradient. Our main goal is to get existence and non-existence results for the latter systems. More precisely, we aim to find conditions on the data that allow us to prove the existence of nonnegative weak solutions to our problem. Moreover we establish non-existence results by proving that our assumptions on the data are optimal.