First-order heat content asymptotics on RCD(K,N) spaces
Year of publication
2024
Authors
Caputo, Emanuele; Rossi, Tommaso
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).
Show moreOrganizations and authors
University of Jyväskylä
Caputo Emanuele
Publication type
Publication format
Article
Parent publication type
Journal
Article type
Original article
Audience
ScientificPeer-reviewed
Peer-ReviewedMINEDU's publication type classification code
A1 Journal article (refereed), original researchPublication channel information
Journal/Series
Publisher
Volume
238
Article number
113385
ISSN
Publication forum
Publication forum level
1
Open access
Open access in the publisher’s service
Yes
Open access of publication channel
Partially open publication channel
Self-archived
Yes
Other information
Fields of science
Mathematics
Keywords
[object Object],[object Object],[object Object]
Publication country
United Kingdom
Internationality of the publisher
International
Language
English
International co-publication
Yes
Co-publication with a company
No
DOI
10.1016/j.na.2023.113385
The publication is included in the Ministry of Education and Culture’s Publication data collection
Yes