The anisotropic Calderón problem at large fixed frequency on manifolds with invertible ray transform
Year of publication
2024
Authors
Ma, Shiqi; Sahoo, Suman Kumar; Salo, Mikko
Abstract
We consider the inverse problem of recovering a potential from the Dirichlet to Neumann map at a large fixed frequency on certain Riemannian manifolds. We extend the earlier result of Uhlmann and Wang [arXiv:2104.03477] to the case of simple manifolds, and more generally to manifolds where the geodesic ray transform is stably invertible. The argument involves an invariantly formulated construction of Gaussian beam quasimodes with uniform bounds for the underlying constants.
Show moreOrganizations and authors
University of Jyväskylä
Salo Mikko 
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
110
Issue
4
Article number
e13006
ISSN
Publication forum
Publication forum level
3
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]
Publication country
United Kingdom
Internationality of the publisher
International
Language
English
International co-publication
Yes
Co-publication with a company
No
DOI
10.1112/jlms.13006
The publication is included in the Ministry of Education and Culture’s Publication data collection
Yes