Carleman estimate for the Schr\"odinger equation and application to magnetic inverse problems
Analysis of PDEs
2018-05-28 v1
Abstract
We prove that the stationary magnetic potential vector and the electrostatic potential entering the dynamic magnetic Schr\"odinger equation can be Lipschitz stably retrieved through finitely many local boundary measurements of the solution. The proof is by means of a specific global Carleman estimate for the Schr\"odinger equation, established in the first part of the paper.
Keywords
Cite
@article{arxiv.1805.10076,
title = {Carleman estimate for the Schr\"odinger equation and application to magnetic inverse problems},
author = {Xinchi Huang and Yavar Kian and Eric Soccorsi and Masahiro Yamamoto},
journal= {arXiv preprint arXiv:1805.10076},
year = {2018}
}