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Regularity and analyticity of solutions in a direction for elliptic equations

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dc.contributor.authorJin, Yongyan
dc.contributor.authorLi, Dongsheng
dc.contributor.authorWang, Xu-Jia
dc.date.accessioned2018-11-29T22:53:10Z
dc.date.available2018-11-29T22:53:10Z
dc.date.issued2015
dc.date.updated2018-11-29T07:51:18Z
dc.description.abstractIn this paper, we study the regularity and analyticity of solutions to linear elliptic equations with measurable or continuous coefficients. We prove that if the coefficients and inhomogeneous term are Hölder-continuous in a direction, then the second-order derivative in this direction of the solution is Hölder-continuous, with a different Hölder exponent. We also prove that if the coefficients and the inhomogeneous term are analytic in a direction, then the solution is analytic in that direction.
dc.format.mimetypeapplication/pdfen_AU
dc.identifier.issn0030-8730
dc.identifier.urihttp://hdl.handle.net/1885/152400
dc.publisherUniversity of California
dc.sourcePacific Journal of Mathematics
dc.titleRegularity and analyticity of solutions in a direction for elliptic equations
dc.typeJournal article
dcterms.accessRightsOpen Accessen_AU
local.bibliographicCitation.issue2
local.bibliographicCitation.lastpage436
local.bibliographicCitation.startpage419
local.contributor.affiliationJin, Yongyan, Zhejiang University
local.contributor.affiliationLi, Dongsheng, Xi'an Jiaotong University
local.contributor.affiliationWang, Xu-Jia, College of Science, ANU
local.contributor.authoruidWang, Xu-Jia, u9514427
local.description.notesImported from ARIES
local.identifier.absfor010101 - Algebra and Number Theory
local.identifier.ariespublicationU3488905xPUB5599
local.identifier.citationvolume276
local.identifier.doi10.2140/pjm.2015.276.419
local.identifier.scopusID2-s2.0-84938267096
local.identifier.thomsonID000362277500010
local.type.statusPublished Version

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