A Borg–Levinson theorem for trees

A Borg–Levinson theorem for trees

We prove that the Dirichelet-to-Neumann map for a Schrödinger operator on a finite simply connected tree determines uniquely the potential on that tree.

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Veröffentlicht in:Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences Mathematical, physical, and engineering sciences, 2005-10, Vol.461 (2062), p.3231-3243
Hauptverfasser: Brown, B.M, Weikard, R
Format: Artikel
Sprache:eng
Schlagworte:
Boundary conditions
Coefficients
Dirichelet-To-Neumann Map
Eigenvalues
Entire functions
Infinity
Inverse Spectral Problems
Inverted spectra
Mathematical theorems
Plant roots
Trees
Vertices
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Beschreibung
Zusammenfassung:We prove that the Dirichelet-to-Neumann map for a Schrödinger operator on a finite simply connected tree determines uniquely the potential on that tree.
ISSN:1364-5021
1471-2946
DOI:10.1098/rspa.2005.1513