A duality approach to the fractional Laplacian with measure data - Resultats de la cerca

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$A duality approach to the fractional Laplacian with measure data$

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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)
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).
2011 - DOI (Digital Object Identifier)

10.5565/PUBLMAT_55111_07
Publicacions matemàtiques, Vol. 55, Núm. 1 (2011) , p. 151-161

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