H\"older stable determination of a quantum scalar potential in unbounded cylindrical domains
Analysis of PDEs
2013-11-22 v1
Abstract
We consider the inverse problem of determining the time independent scalar potential of the dynamic Schr\"odinger equation in an infinite cylindrical domain from one boundary Neumann observation of the solution. We prove H\"older stability by choosing the Dirichlet boundary condition suitably.
Keywords
Cite
@article{arxiv.1311.5323,
title = {H\"older stable determination of a quantum scalar potential in unbounded cylindrical domains},
author = {Yavar Kian and Quang Sang Phan and Eric Soccorsi},
journal= {arXiv preprint arXiv:1311.5323},
year = {2013}
}