Stability estimate for the aligned magnetic field in a periodic quantum waveguide from Dirichlet-to-Neumann map
Journal Article
·
· Journal of Mathematical Physics
- Aix Marseille Universite, Toulon Universite, CNRS, CPT, Marseille (France)
In this article, we study the boundary inverse problem of determining the aligned magnetic field appearing in the magnetic Schrödinger equation in a periodic quantum cylindrical waveguide, by knowledge of the Dirichlet-to-Neumann map. We prove a Hölder stability estimate with respect to the Dirichlet-to-Neumann map, by means of the geometrical optics solutions of the magnetic Schrödinger equation.
- OSTI ID:
- 22596841
- Journal Information:
- Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 6 Vol. 57; ISSN JMAPAQ; ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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