Inverse Problem for a Curved Quantum Guide

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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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
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spelling doaj-341007c6d18444d096b8643be3fd5c522020-11-24T23:13:56ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252012-01-01201210.1155/2012/651390651390Inverse Problem for a Curved Quantum GuideLaure Cardoulis0Michel Cristofol1UT1 Ceremath, Université de Toulouse, 21 Allées de Brienne, 31042 Toulouse Cedex 9, FranceLATP, Université d’Aix-Marseille, UMR 7353, 39 rue Joliot Curie, 13453 Marseille Cedex 13, FranceWe 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.http://dx.doi.org/10.1155/2012/651390
collection DOAJ
language English
format Article
sources DOAJ
author Laure Cardoulis
Michel Cristofol
spellingShingle Laure Cardoulis
Michel Cristofol
Inverse Problem for a Curved Quantum Guide
International Journal of Mathematics and Mathematical Sciences
author_facet Laure Cardoulis
Michel Cristofol
author_sort Laure Cardoulis
title Inverse Problem for a Curved Quantum Guide
title_short Inverse Problem for a Curved Quantum Guide
title_full Inverse Problem for a Curved Quantum Guide
title_fullStr Inverse Problem for a Curved Quantum Guide
title_full_unstemmed Inverse Problem for a Curved Quantum Guide
title_sort inverse problem for a curved quantum guide
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2012-01-01
description 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.
url http://dx.doi.org/10.1155/2012/651390
work_keys_str_mv AT laurecardoulis inverseproblemforacurvedquantumguide
AT michelcristofol inverseproblemforacurvedquantumguide
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