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Journal Articles International Journal of Mathematics and Mathematical Sciences Year : 2012

Inverse Problem for a Curved Quantum Guide

Abstract

In this paper, we consider the Dirichlet Laplacian operator −∆ 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
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Dates and versions

hal-01264017 , version 1 (29-01-2016)

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Laure Cardoulis, Michel Cristofol. Inverse Problem for a Curved Quantum Guide. International Journal of Mathematics and Mathematical Sciences, 2012, ⟨10.5802/aif.204⟩. ⟨hal-01264017⟩
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