Inverse Problem for a Curved Quantum Guide

We consider the Dirichlet Laplacian operator −Δ 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-strap...

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Bibliographic Details
Main Authors: Laure Cardoulis, Michel Cristofol
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2012/651390