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 150
Regularity results for solutions of linear elliptic degenerate boundary-value problems in Besov-Morrey Spaces
Halima Srhiri, Chakir Allalou, Khalid Hilal
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 21, 2022
March 03, 2137
April 15, 2137

Abstract: The purpose of this paper is to give an a-priori estimate near the boundary for solutions of some higher order degenerate elliptic problems in BesovMorrey spaces involing two class of linear elliptic degenerate higher-order operators. This work extends some results found in Holder spaces, Sobolev spaces, Besov spaces and typeBesov spaces. The methods used in this dissertation are mainly based on harmonic analysis techniques, they consist on the one hand, in giving a dyadic characterization of Besov-Morrey spaces thanks to the Littlewood-Paley decomposition, on the other hand, in reducing the ...