An inverse problem for semilinear equations involving the fractional Laplacian
Year of publication
2023
Authors
Kow, Pu-Zhao; Ma, Shiqi; Sahoo, Suman Kumar
Abstract
Our work concerns the study of inverse problems of heat and wave equations involving the fractional Laplacian operator with zeroth order nonlinear perturbations. We recover nonlinear terms in the semilinear equations from the knowledge of the fractional Dirichlet-to-Neumann type map combined with the Runge approximation and the unique continuation property of the fractional Laplacian.
Show moreOrganizations and authors
University of Jyväskylä
Sahoo Suman
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
Publisher
Volume
39
Issue
9
Article number
095006
ISSN
Publication forum
Publication forum level
3
Open access
Open access in the publisher’s service
No
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
10.1088/1361-6420/ace9f4
The publication is included in the Ministry of Education and Culture’s Publication data collection
Yes