Stability for inverse source problems by Carleman estimates
Analysis of PDEs
2020-12-30 v2
Abstract
In this article, we provide a modified argument for proving conditional stability for inverse problems of determining spatially varying functions in evolution equations by Carleman estimates. Our method needs not any cut-off procedures and can simplify the existing proofs. We establish the conditional stability for inverse source problems for a hyperbolic equation and a parabolic equation, and our method is widely applicable to various evolution equations.
Cite
@article{arxiv.1912.10484,
title = {Stability for inverse source problems by Carleman estimates},
author = {X. Huang and O. Yu. Imanuvilov and M. Yamamoto},
journal= {arXiv preprint arXiv:1912.10484},
year = {2020}
}
Comments
17 pages