Interior Regularity Estimates for a Degenerate Elliptic Equation with Mixed Boundary Conditions

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dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimizacióngl
dc.contributor.authorDjida, Jean Daniel
dc.contributor.authorFernández, Arran
dc.date.accessioned2020-11-11T12:02:30Z
dc.date.available2020-11-11T12:02:30Z
dc.date.issued2018
dc.description.abstractThe Marchaud fractional derivative can be obtained as a Dirichlet-to–Neumann map via an extension problem to the upper half space. In this paper we prove interior Schauder regularity estimates for a degenerate elliptic equation with mixed Dirichlet–Neumann boundary conditions. The degenerate elliptic equation arises from the Bernardis–Reyes–Stinga–Torrea extension of the Dirichlet problem for the Marchaud fractional derivativegl
dc.description.peerreviewedSIgl
dc.description.sponsorshipThe second author’s research was supported by a student grant from the Engineering and Physical Sciences Research Council, UKgl
dc.identifier.citationDjida, J.-D.; Fernandez, A. Interior Regularity Estimates for a Degenerate Elliptic Equation with Mixed Boundary Conditions. Axioms 2018, 7, 65gl
dc.identifier.doi0.3390/axioms7030065
dc.identifier.essn2075-1680
dc.identifier.urihttp://hdl.handle.net/10347/23667
dc.language.isoenggl
dc.publisherMDPIgl
dc.relation.publisherversionhttps://doi.org/10.3390/axioms7030065gl
dc.rights© 2018 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/)gl
dc.rightsAtribución 4.0 Internacional
dc.rights.accessRightsopen accessgl
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectMarchaud fractional derivativegl
dc.subjectInterior regularitygl
dc.subjectSchauder estimategl
dc.subjectExtension problemgl
dc.subjectFractional order weighted Sobolev spacesgl
dc.titleInterior Regularity Estimates for a Degenerate Elliptic Equation with Mixed Boundary Conditionsgl
dc.typejournal articlegl
dc.type.hasVersionVoRgl
dspace.entity.typePublication

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