First-order heat content asymptotics on RCD(K,N) spaces

Caputo, Emanuele; Rossi, Tommaso

doi:10.1016/j.na.2023.113385

dc.contributor.author	Caputo, Emanuele
dc.contributor.author	Rossi, Tommaso
dc.date.accessioned	2023-10-06T07:30:06Z
dc.date.available	2023-10-06T07:30:06Z
dc.date.issued	2024
dc.identifier.citation	Caputo, 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.other	CONVID_189040328
dc.identifier.uri	https://jyx.jyu.fi/handle/123456789/89474
dc.description.abstract	In 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.mimetype	application/pdf
dc.language.iso	eng
dc.publisher	Elsevier
dc.relation.ispartofseries	Nonlinear Analysis: Theory, Methods and Applications
dc.rights	CC BY 4.0
dc.subject.other	heat content
dc.subject.other	RCD spaces
dc.subject.other	sets of finite perimeter
dc.title	First-order heat content asymptotics on RCD(K,N) spaces
dc.type	article
dc.identifier.urn	URN:NBN:fi:jyu-202310065503
dc.contributor.laitos	Matematiikan ja tilastotieteen laitos	fi
dc.contributor.laitos	Department of Mathematics and Statistics	en
dc.type.uri	http://purl.org/eprint/type/JournalArticle
dc.type.coar	http://purl.org/coar/resource_type/c_2df8fbb1
dc.description.reviewstatus	peerReviewed
dc.relation.issn	0362-546X
dc.relation.volume	238
dc.type.version	publishedVersion
dc.rights.copyright	©2023 The Author(s). Published by Elsevier Ltd.
dc.rights.accesslevel	openAccess	fi
dc.relation.grantnumber	314789
dc.subject.yso	Riemannin monistot
dc.subject.yso	asymptootti
dc.subject.yso	differentiaaligeometria
dc.format.content	fulltext
jyx.subject.uri	http://www.yso.fi/onto/yso/p39163
jyx.subject.uri	http://www.yso.fi/onto/yso/p19463
jyx.subject.uri	http://www.yso.fi/onto/yso/p16682
dc.rights.url	https://creativecommons.org/licenses/by/4.0/
dc.relation.doi	10.1016/j.na.2023.113385
dc.relation.funder	Suomen Akatemia	fi
dc.relation.funder	Research Council of Finland	en
jyx.fundingprogram	Akatemiahanke, SA	fi
jyx.fundingprogram	Academy Project, AoF	en
jyx.fundinginformation	E.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.okm	A1