Stability estimate for the aligned magnetic field in a periodic quantum waveguide from dirichlet-to-neumann map

Abstract

In this article, we study the boundary inverse problem of determining the aligned magnetic fiaeld appearing in the magnetic Schrödinger equation in a periodic quantum cylindrical waveguide. Provided that the Dirichlet-to-Neumann map of the magnetic Schrödinger 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.

19 pages. arXiv admin note: text overlap with arXiv:1306.6601 by other authors

References in corpus (4)

• Complex spherical waves and inverse problems in unbounded domains
• Inverse problems with partial data for a magnetic Schrödinger operator in an infinite slab and on a bounded domain
• Stable determination of coefficients in the dynamical anisotropic Schr{ö}dinger equation from the Dirichlet-to-Neumann map
• An inverse anisotropic conductivity problem induced bytwisting a homogeneous cylindrical domain