Local approximation of arbitrary functions by solutions of nonlocal
equations

Dipierro, Serena; Savin, Ovidiu; Valdinoci, Enrico

Local approximation of arbitrary functions by solutions of nonlocal equations

dc.bibliographicCitation.volume	2303
dc.contributor.author	Dipierro, Serena
dc.contributor.author	Savin, Ovidiu
dc.contributor.author	Valdinoci, Enrico
dc.date.accessioned	2016-12-16T22:47:11Z
dc.date.available	2019-06-28T08:21:01Z
dc.date.issued	2016
dc.description.abstract	We show that any function can be locally approximated by solutions of prescribed linear equations of nonlocal type. In particular, we show that every function is locally s-caloric, up to a small error. The case of non-elliptic and non-parabolic operators is taken into account as well.	eng
dc.description.version	publishedVersion	eng
dc.format	application/pdf
dc.identifier.issn	2198-5855
dc.identifier.uri	https://doi.org/10.34657/2607
dc.identifier.uri	https://oa.tib.eu/renate/handle/123456789/3273
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 2303, 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-caloric functions	eng
dc.subject.ddc	510	eng
dc.title	Local approximation of arbitrary functions by solutions of nonlocal equations	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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