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: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2012/651390 |
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| _version_ | 1832559888020013056 |
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| author | Laure Cardoulis Michel Cristofol |
| author_facet | Laure Cardoulis Michel Cristofol |
| author_sort | Laure Cardoulis |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-341007c6d18444d096b8643be3fd5c52 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-341007c6d18444d096b8643be3fd5c522025-02-03T01:28:57ZengWileyInternational 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 |
| spellingShingle | Laure Cardoulis Michel Cristofol Inverse Problem for a Curved Quantum Guide International Journal of Mathematics and Mathematical Sciences |
| title | 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_short | Inverse Problem for a Curved Quantum Guide |
| title_sort | inverse problem for a curved quantum guide |
| url | http://dx.doi.org/10.1155/2012/651390 |
| work_keys_str_mv | AT laurecardoulis inverseproblemforacurvedquantumguide AT michelcristofol inverseproblemforacurvedquantumguide |