A duality approach to the fractional Laplacian with measure data
Karlsen, Kenneth H. (University of Oslo. Centre of Mathematics for Applications)
Petitta, Francesco (Universitat de València. Departament d'Anàlisi Matemàtica)
Ulusoy, Suleyman (University of Maryland. Center for Scientific Computation and Mathematical Modeling)

Date:	2011
Abstract:	We describe a duality method to prove both existence and uniqueness of solutions to nonlocal problems like (-∆)s ʋ = µ in RN with vanishing conditions at inffnity. Here if is a bounded Radon measure whose support is compactly contained in RN N ≥ 2, and - (∆)s is the fractional Laplace operator of order s ϵ (1/2,1).
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Fractional Laplacian ; Measure data ; Existence ; Uniqueness ; Duality solutions
Published in:	Publicacions matemàtiques, Vol. 55, Núm. 1 (2011) , p. 151-161, ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/217245
DOI: 10.5565/PUBLMAT_55111_07

11 p, 301.6 KB

The record appears in these collections:
Articles > Published articles > Publicacions matemàtiques
Articles > Research articles