Inverse problems for a half-order time-fractional diffusion equation in arbitrary dimension by Carleman estimates
Analysis of PDEs
2020-10-21 v1
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.
Cite
@article{arxiv.2010.10082,
title = {Inverse problems for a half-order time-fractional diffusion equation in arbitrary dimension by Carleman estimates},
author = {X. Huang and A. Kawamoto},
journal= {arXiv preprint arXiv:2010.10082},
year = {2020}
}
Comments
26 pages