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Fecha
2024-12-06
Derechos de acceso
info:eu-repo/semantics/openAccess
Título de la revista
ISSN de la revista
Título del volumen
Editorial
World Scientific Publishing
Citas
Resumen
We obtain a global fractional Calder on-Zygmund type regularity theory for the fractional Poisson problem. More precisely, for
RN, N > 2, a bounded domain with boundary @
of class C2, s 2 (0; 1)
and f 2 Lm(
) for some m > 1, we consider the problem
( )su = f in
; u = 0 in RN n
;and, according to m, we nd the values of s 6 t < minf1; 2sg and of 1 < p < +1 such that u 2 Lt;p(RN)
and such that u 2 Wt;p(RN).
Descripción
This is an Accepted Manuscript of an article published by World Scientific Publishing
in "Communications in Contemporary Mathematics 27 (08) 2550004", available at: https://doi.org/10.1142/S021919972550004X
Este es el manuscrito aceptado del artículo publicado por World Scientific Publishing en "Communications in Contemporary Mathematics 27 (08) 2550004", disponible en línea: https://doi.org/10.1142/S021919972550004X
Este es el manuscrito aceptado del artículo publicado por World Scientific Publishing en "Communications in Contemporary Mathematics 27 (08) 2550004", disponible en línea: https://doi.org/10.1142/S021919972550004X
Categorías UNESCO
Palabras clave
Fractional Poisson Problem, Calderónn-Zygmund, Regularity theory
Citación
Abdellaoui, Boumediene and Fernández, Antonio J. and Leonori, Tommaso and Younes, Abdelbadie. "Global fractional Calderón–Zygmund-type regularity." Communications in Contemporary Mathematics 27 (08) 2550004, 2025. https://doi.org/10.1142/S021919972550004X
Centro
Facultad de Ciencias
Departamento
Matemáticas Fundamentales