All functions are locally s-harmonic up to a small error

Dipierro, Serena; Savin, Ovidiu; Valdinoci, Enrico

All functions are locally s-harmonic up to a small error

dc.bibliographicCitation.volume	1944
dc.contributor.author	Dipierro, Serena
dc.contributor.author	Savin, Ovidiu
dc.contributor.author	Valdinoci, Enrico
dc.date.accessioned	2016-03-24T17:37:09Z
dc.date.available	2019-06-28T08:14:18Z
dc.date.issued	2014
dc.description.abstract	We show that we can approximate every function f Ck (B1) with a s-harmonic function in B1 that vanishes outside a compact set. That is, s-harmonic functions are dense in Ck loc. This result is clearly in contrast with the rigidity of harmonic functions in the classical case and can be viewed as a purely nonlocal feature.	eng
dc.description.version	publishedVersion	eng
dc.format	application/pdf
dc.identifier.issn	2198-5855
dc.identifier.uri	https://doi.org/10.34657/1946
dc.identifier.uri	https://oa.tib.eu/renate/handle/123456789/2969
dc.language.iso	eng	eng
dc.publisher	Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik	eng
dc.relation.ispartofseries	Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik , Volume 1944, ISSN 2198-5855	eng
dc.rights.license	This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.	eng
dc.rights.license	Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.	ger
dc.subject	Density properties	eng
dc.subject	approximation	eng
dc.subject	s-harmonic functions	eng
dc.subject.ddc	510	eng
dc.title	All functions are locally s-harmonic up to a small error	eng
dc.type	report	eng
dc.type	Text	eng
dcterms.bibliographicCitation.journalTitle	Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik	eng
tib.accessRights	openAccess	eng
wgl.contributor	WIAS	eng
wgl.subject	Mathematik	eng
wgl.type	Report / Forschungsbericht / Arbeitspapier	eng

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