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Interior regularity of solutions of non-local equations in Sobolev and Nikol'skii spaces
dc.contributor.author | Cozzi, Matteo | |
dc.date.accessioned | 2016-05-24T05:42:23Z | |
dc.date.available | 2019-06-28T08:26:33Z | |
dc.date.issued | 2016 | |
dc.description.abstract | We 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.version | publishedVersion | eng |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/3488 | |
dc.language.iso | eng | eng |
dc.publisher | Cambridge : arXiv | eng |
dc.relation.uri | http://arxiv.org/abs/1601.02819 | |
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.ddc | 510 | eng |
dc.subject.other | Integro-differential equations | eng |
dc.subject.other | fractional Laplacian | eng |
dc.subject.other | regularity theory | eng |
dc.subject.other | Nirenberg’s translation method | eng |
dc.subject.other | Caccioppoli inequality | eng |
dc.subject.other | fractional Sobolev spaces | eng |
dc.subject.other | Nikol’skii spaces | eng |
dc.title | Interior regularity of solutions of non-local equations in Sobolev and Nikol'skii spaces | eng |
dc.type | Report | eng |
dc.type | Text | eng |
tib.accessRights | openAccess | eng |
wgl.contributor | WIAS | eng |
wgl.subject | Mathematik | eng |
wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |