Carleman estimates for sub-Laplacians on Carnot groups
Year of publication
2023
Authors
Arya, Vedansh; Kumar, Dharmendra
Abstract
In this note, we establish a new Carleman estimate with singular weights for the sub-Laplacian on a Carnot group G for functions satisfying the discrepancy assumption in (2.16) below. We use such an estimate to derive a sharp vanishing order estimate for solutions to stationary Schrödinger equations.
Show moreOrganizations and authors
University of Jyväskylä
Arya Vedansh
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
13
Issue
4
Article number
55
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]
Publication country
Switzerland
Internationality of the publisher
International
Language
English
International co-publication
Yes
Co-publication with a company
No
DOI
10.1007/s13324-023-00818-6
The publication is included in the Ministry of Education and Culture’s Publication data collection
Yes