Interior regularity of solutions of non-local equations in Sobolev and Nikol'skii spaces

dc.contributor.authorCozzi, Matteo
dc.date.accessioned2016-05-24T05:42:23Z
dc.date.available2019-06-28T08:26:33Z
dc.date.issued2016
dc.description.abstractWe prove interior H2s−ε regularity for weak solutions of linear elliptic integro-differential equations close to the fractional s-Laplacian. The result is obtained via intermediate estimates in Nikol'skii spaces, which are in turn carried out by means of an appropriate modification of the classical translation method by Nirenberg.eng
dc.description.versionpublishedVersioneng
dc.identifier.urihttps://oa.tib.eu/renate/handle/123456789/3488
dc.language.isoengeng
dc.publisherCambridge : arXiveng
dc.relation.urihttp://arxiv.org/abs/1601.02819
dc.rights.licenseThis 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.licenseDieses 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.ddc510eng
dc.subject.otherIntegro-differential equationseng
dc.subject.otherfractional Laplacianeng
dc.subject.otherregularity theoryeng
dc.subject.otherNirenberg’s translation methodeng
dc.subject.otherCaccioppoli inequalityeng
dc.subject.otherfractional Sobolev spaceseng
dc.subject.otherNikol’skii spaceseng
dc.titleInterior regularity of solutions of non-local equations in Sobolev and Nikol'skii spaceseng
dc.typeReporteng
dc.typeTexteng
tib.accessRightsopenAccesseng
wgl.contributorWIASeng
wgl.subjectMathematikeng
wgl.typeReport / Forschungsbericht / Arbeitspapiereng
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