Stability estimate for an inverse problem for the Schr{\"o}dinger equation in a magnetic field with time-dependent coefficient
Analysis of PDEs
2017-09-13 v1
Abstract
We study the stability issue in the inverse problem of determining the magnetic field and the time-dependent electric potential appearing in the Schr\"odinger equation, from boundary observations. We prove in dimension 3 or greater, that the knowledge of the Dicrichlet-to-Neumann map stably determines the magnetic field and the electric potential.
Keywords
Cite
@article{arxiv.1608.00449,
title = {Stability estimate for an inverse problem for the Schr{\"o}dinger equation in a magnetic field with time-dependent coefficient},
author = {Ibtissem Ben Aicha},
journal= {arXiv preprint arXiv:1608.00449},
year = {2017}
}