Inverse Problem for a Curved Quantum Guide
Analysis of PDEs
2016-02-03 v1
Abstract
In this paper, we consider the Dirichlet Laplacian operator -{\Delta} on a curved quantum guide in R n (n = 2, 3) with an asymptotically straight reference curve. We give uniqueness results for the inverse problem associated to the reconstruction of the curvature by using either observations of spectral data or a boot-strapping method. keywords: Inverse Problem, Quantum Guide, Curvature
Cite
@article{arxiv.1602.01060,
title = {Inverse Problem for a Curved Quantum Guide},
author = {Laure Cardoulis and Michel Cristofol},
journal= {arXiv preprint arXiv:1602.01060},
year = {2016}
}
Comments
International Journal of Mathematics and Mathematical Sciences, Hindawi Publishing Corporation, 2012