Inverse Problem for a Curved Quantum Guide
Université Toulouse III - Paul Sabatier · Université Fédérale de Toulouse Midi-Pyrénées · +4 more institutions
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Abstract
We consider the Dirichlet Laplacian operator−Δon a curved quantum guide inℝ 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.
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2Topics & keywords
Keywords
- Mathematics
- Curvature
- Inverse
- Laplace operator
- Inverse problem
- Quantum
- Uniqueness
- Operator (biology)
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