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dc.contributor.authorCaputo, Emanuele
dc.contributor.authorRossi, Tommaso
dc.date.accessioned2023-10-06T07:30:06Z
dc.date.available2023-10-06T07:30:06Z
dc.date.issued2024
dc.identifier.citationCaputo, E., & Rossi, T. (2024). First-order heat content asymptotics on RCD(K,N) spaces. <i>Nonlinear Analysis: Theory, Methods and Applications</i>, <i>238</i>, Article 113385. <a href="https://doi.org/10.1016/j.na.2023.113385" target="_blank">https://doi.org/10.1016/j.na.2023.113385</a>
dc.identifier.otherCONVID_189040328
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/89474
dc.description.abstractIn this paper, we prove first-order asymptotics on a bounded open set of the heat content when the ambient space is an RCD(K, N) space, under a regularity condition for the boundary that we call measured interior geodesic condition of size ϵ. We carefully study such a condition, relating it to the properties of the disintegration of the signed distance function from ∂Ω studied in Cavalletti and Mondino (2020).en
dc.format.mimetypeapplication/pdf
dc.language.isoeng
dc.publisherElsevier
dc.relation.ispartofseriesNonlinear Analysis: Theory, Methods and Applications
dc.rightsCC BY 4.0
dc.subject.otherheat content
dc.subject.otherRCD spaces
dc.subject.othersets of finite perimeter
dc.titleFirst-order heat content asymptotics on RCD(K,N) spaces
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-202310065503
dc.contributor.laitosMatematiikan ja tilastotieteen laitosfi
dc.contributor.laitosDepartment of Mathematics and Statisticsen
dc.type.urihttp://purl.org/eprint/type/JournalArticle
dc.type.coarhttp://purl.org/coar/resource_type/c_2df8fbb1
dc.description.reviewstatuspeerReviewed
dc.relation.issn0362-546X
dc.relation.volume238
dc.type.versionpublishedVersion
dc.rights.copyright©2023 The Author(s). Published by Elsevier Ltd.
dc.rights.accesslevelopenAccessfi
dc.relation.grantnumber314789
dc.subject.ysoRiemannin monistot
dc.subject.ysoasymptootti
dc.subject.ysodifferentiaaligeometria
dc.format.contentfulltext
jyx.subject.urihttp://www.yso.fi/onto/yso/p39163
jyx.subject.urihttp://www.yso.fi/onto/yso/p19463
jyx.subject.urihttp://www.yso.fi/onto/yso/p16682
dc.rights.urlhttps://creativecommons.org/licenses/by/4.0/
dc.relation.doi10.1016/j.na.2023.113385
dc.relation.funderSuomen Akatemiafi
dc.relation.funderResearch Council of Finlanden
jyx.fundingprogramAkatemiahanke, SAfi
jyx.fundingprogramAcademy Project, AoFen
jyx.fundinginformationE.C. acknowledges support from the Academy of Finland Grant No. 314789 and the kind hospitality of University of Bonn. T.R. acknowledges support from the Deutsche Forschungsgemeinschaft, Germany (DFG, German Research Foundation) through the collaborative research centre “The mathematics of emerging effects” (CRC 1060, Project-ID 211504053) and the kind hospitality of University of Jyväskylä .
dc.type.okmA1


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