Addendum: Local elliptic regularity for the Dirichlet fractional Laplacian

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dc.contributor.authorBiccari, Umberto
dc.contributor.authorWarma, Mahamadi
dc.contributor.authorZuazua, Enrique
dc.date.accessioned2025-01-07T13:57:32Z
dc.date.available2025-01-07T13:57:32Z
dc.date.issued2017
dc.date.updated2025-01-07T13:57:32Z
dc.description.abstractIn [1], for 1 < p < 1<p< ∞, we proved the W loc 2 s p W 2s,p loc local elliptic regularity of weak solutions to the Dirichlet problem associated with the fractional Laplacian (- Δ) s -Δ s on an arbitrary bounded open set of N R N. Here we make a more precise and rigorous statement. In fact, for 1 < p < 2 1<p<2 and s 1 2 s 1 2, local regularity does not hold in the Sobolev space W loc 2 s p W 2s,p loc, but rather in the larger Besov space (B p 2 2 s) loc (B 2s p,2 loc.en
dc.identifier.citationBiccari, U., Warma, M., & Zuazua, E. (2017). Addendum: Local Elliptic Regularity for the Dirichlet Fractional Laplacian. Advanced Nonlinear Studies, 17(4), 837-839. https://doi.org/10.1515/ANS-2017-6020
dc.identifier.doi10.1515/ANS-2017-6020
dc.identifier.issn1536-1365
dc.identifier.urihttp://hdl.handle.net/20.500.14454/2196
dc.language.isoeng
dc.publisherWalter de Gruyter GmbH
dc.subject.otherFractional Laplacian
dc.subject.otherDirichlet boundary condition
dc.subject.otherWeak solutions
dc.subject.otherLocal regularity
dc.titleAddendum: Local elliptic regularity for the Dirichlet fractional Laplacianen
dc.typejournal article
dcterms.accessRightsopen access
oaire.citation.endPage839
oaire.citation.issue4
oaire.citation.startPage837
oaire.citation.titleAdvanced Nonlinear Studies
oaire.citation.volume17
oaire.licenseConditionhttps://creativecommons.org/licenses/by/4.0/
oaire.versionVoR
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