A Borg–Levinson theorem for trees-Reference-Cited by-同舟云学术

A Borg–Levinson theorem for trees

Published:2005-08-25 Issue:2062 Volume:461 Page:3231-3243
ISSN:1364-5021
Container-title:Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
language:en
Short-container-title:Proc. R. Soc. A.

Author:

Brown B.M¹,Weikard R²

Affiliation:

1. School of Computer Science, University of WalesCardiff, PO Box 916, Cardiff CF2 3XF, UK

2. Department of Mathematics, University of Alabama at BirminghamBirmingham, Alabama 35294-1170, USA

Abstract

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.

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2005.1513

Reference24 articles.

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5. Hill's equation for a homogeneous tree;Carlson R;Electron. J. Diff. Eqns,1997

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