Stability estimate for the aligned magnetic field in a periodic quantum waveguide from dirichlet-to-neumann map
Analysis of PDEs
2016-06-29 v1
Abstract
In this article, we study the boundary inverse problem of determining the aligned magnetic fiaeld appearing in the magnetic Schr\"odinger equation in a periodic quantum cylindrical waveguide. Provided that the Dirichlet-to-Neumann map of the magnetic Schr\"odinger equation. We prove a Holder stability estimate with respect to the Dirichlet-to-Neumann map, by means of the geometrical optics solutions of the magnetic Schrodinger equation.
Keywords
Cite
@article{arxiv.1602.00513,
title = {Stability estimate for the aligned magnetic field in a periodic quantum waveguide from dirichlet-to-neumann map},
author = {Youssef Mejri},
journal= {arXiv preprint arXiv:1602.00513},
year = {2016}
}
Comments
19 pages. arXiv admin note: text overlap with arXiv:1306.6601 by other authors