Open AccessInverse Problem for a Curved Quantum Guide
Author(s) -
Laure Cardoulis,
Michel Cristofol
Publication year - 2012
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/2012/651390
Subject(s) - algorithm , artificial intelligence , computer science
In this paper, we consider the Dirichlet Laplacian operator on a curved quantum guide in Rn (n = 2, 3). If the reference curve is not straight but asymptotically straight, we prove that the data of one eigenfunction associated with its eigenvalue determines the curvature.
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