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arXiv · 1602.00513

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

Youssef Mejri
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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.

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Youssef Mejri. 2016-02-01. Stability estimate for the aligned magnetic field in a periodic quantum waveguide from dirichlet-to-neumann map. https://doi.org/10.1063/1.4953687

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