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.

Saved in:

Bibliographic Details
Published in:	Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences Vol. 461; no. 2062; pp. 3231 - 3243
Main Authors:	Brown, B.M, Weikard, R
Format:	Journal Article
Language:	English
Published:	London The Royal Society 08-10-2005
Subjects:	Boundary conditions Coefficients Dirichelet-To-Neumann Map Eigenvalues Entire functions Infinity Inverse Spectral Problems Inverted spectra Mathematical theorems Plant roots Trees Vertices
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Description
Summary:	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.
Bibliography:	href:3231.pdf ark:/67375/V84-21B1T0J3-9 istex:F1BF9F6CEF03E411D1C34F2A3197ABABB2377FFB ArticleID:rspa20051513
ISSN:	1364-5021 1471-2946
DOI:	10.1098/rspa.2005.1513