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Inverse problems for a half-order time-fractional diffusion equation in arbitrary dimension by Carleman estimates

Authors :
Atsushi Kawamoto
Xinchi Huang
Source :
Inverse Problems & Imaging. 16:39
Publication Year :
2022
Publisher :
American Institute of Mathematical Sciences (AIMS), 2022.

Abstract

We consider a half-order time-fractional diffusion equation in an arbitrary dimension and investigate inverse problems of determining the source term or the diffusion coefficient from spatial data at an arbitrarily fixed time under some additional assumptions. We establish the stability estimate of Lipschitz type in the inverse problems and the proofs are based on the Bukhgeim-Klibanov method by using Carleman estimates.<br />Comment: 26 pages

Details

ISSN :
19308345 and 19308337
Volume :
16
Database :
OpenAIRE
Journal :
Inverse Problems & Imaging
Accession number :
edsair.doi.dedup.....d35e982361f27e1249ba2dd97537ddf8
Full Text :
https://doi.org/10.3934/ipi.2021040