Stability estimates for relativistic Schr\"odinger equation from partial boundary data
Analysis of PDEs
2020-12-30 v1 Mathematical Physics
math.MP
Abstract
In this article we study stability aspects for the determination of time-dependent vector and scalar potentials in relativistic Schr\"odinger equation from partial knowledge of boundary measurements. For space dimensions strictly greater than 2 we obtain log-log stability estimates for the determination of vector potentials (modulo gauge equivalence) and log-log-log stability estimates for the determination of scalar potentials from partial boundary data assuming suitable a-priori bounds on these potentials.
Cite
@article{arxiv.2007.02331,
title = {Stability estimates for relativistic Schr\"odinger equation from partial boundary data},
author = {Soumen Senapati},
journal= {arXiv preprint arXiv:2007.02331},
year = {2020}
}
Comments
22 pages