Stability of determining the potential from partial boundary data in a Schr\"odinger equation in the high frequency limit
Analysis of PDEs
2025-01-23 v2
Abstract
We establish stability inequalities for the problem of determining the potential, appearing in a Sch\"odinger equation, from partial boundary data in the high frequency limit. These stability inequalities hold under the assumption that the potential is known near the boundary of the domain under consideration.
Keywords
Cite
@article{arxiv.2307.00273,
title = {Stability of determining the potential from partial boundary data in a Schr\"odinger equation in the high frequency limit},
author = {Mourad Choulli},
journal= {arXiv preprint arXiv:2307.00273},
year = {2025}
}
Comments
We make some corrections to the version published in Communications on Analysis and Computation [1 (3) (2023) 214-233]