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 389
Quasilinear Periodic Equation with Arbitrary Growth Nonlinearity and Data Measures
Malika El Ghabi, Hamza Alaa, Noureddine Alaa
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 31, 2022
March 03, 2330
April 15, 2330

Abstract: The aim of this paper is to present, on the one hand, the mathematical analysis of a class of quasilinear periodic equations with periodic boundary conditions and arbitrary nonlinearities with respect to the gradients of the solutions, and on the other hand a numerical simulation based on Deep Learning techniques. The classical techniques to show the existence of solutions based on a priori estimates in $C^{\alpha}$ do not perform here, and a new technique is developed to show the existence and uniqueness of weak periodic solutions. The classical numerical methods based ...