Inverse problems for elliptic equations with fractional power type nonlinearities
Year of publication
2022
Authors
Liimatainen, Tony; Lin, Yi-Hsuan; Salo, Mikko; Tyni, Teemu
Abstract
We study inverse problems for semilinear elliptic equations with fractional power type nonlinearities. Our arguments are based on the higher order linearization method, which helps us to solve inverse problems for certain nonlinear equations in cases where the solution for a corresponding linear equation is not known. By using a fractional order adaptation of this method, we show that the results of [24], [23] remain valid for general power type nonlinearities.
Show moreOrganizations and authors
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
Parent publication name
Volume
306
Pages
189-219
ISSN
Publication forum
Publication forum level
2
Open access
Open access in the publisher’s service
No
Open access of publication channel
Partially open publication channel
Self-archived
Yes
License of the self-archived publication
CC BY NC ND
Other information
Fields of science
Mathematics
Keywords
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Publication country
United States
Internationality of the publisher
International
Language
English
International co-publication
Yes
Co-publication with a company
No
DOI
10.1016/j.jde.2021.10.015
The publication is included in the Ministry of Education and Culture’s Publication data collection
Yes