Work

Global fractional Calderón–Zygmund-type regularity

Year: 2024

Type: article

Abstract: We obtain a global fractional Calderón–Zygmund-type regularity theory for the fractional Poisson problem. More precisely, for [Formula: see text], [Formula: see text], a bounded domain with boundary [Formula: see text] of class [Formula: see text], [Formula: see text] and [Formula: see text] for some [Formula: see text], we consider the problem [Formula: see text] and, according to [Formula: see text], we find the values of [Formula: see text] and of [Formula: see text] such that [Formula: see text] and such that [Formula: see text].

Source: Communications in Contemporary Mathematics

DOI: 10.1142/s021919972550004x

Authors: Boumediene Abdellaoui, Antonio J. Fernández, Tommaso Leonori, Abdelbadie Younes

Institutions: University of Abou Bekr Belkaïd, Consejo Superior de Investigaciones Científicas, Institute of Mathematical Sciences, Universidad Autónoma de Madrid, Universidad Nacional de Educación a Distancia, National School of Artificial Intelligence

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Ministerio de Economía y Competitividad

OpenAlex ID: W4403503516

FWCI: 3.061

Cites: 37

Cited by: 5

Related to: 10