Stable Determination of Time-Dependent Scalar Potential From Boundary Measurements in a Periodic Quantum Waveguide
Analysis of PDEs
2013-06-28 v1
Abstract
We prove logarithmic stability in the determination of the time-dependent scalar potential in a 1-periodic quantum cylindrical waveguide, from the boundary measurements of the solution to the dynamic Schr\"odinger equation.
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Cite
@article{arxiv.1306.6601,
title = {Stable Determination of Time-Dependent Scalar Potential From Boundary Measurements in a Periodic Quantum Waveguide},
author = {Mourad Choulli and Yavar Kian and Eric Soccorsi},
journal= {arXiv preprint arXiv:1306.6601},
year = {2013}
}
Comments
17 pages