Inverse Problem for a Curved Quantum Guide

Abstract

In this paper, 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-strapping method. keywords: Inverse Problem, Quantum Guide, Curvature

International Journal of Mathematics and Mathematical Sciences, Hindawi Publishing Corporation, 2012

References in corpus (1)

• On the spectrum of curved quantum waveguides

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