Partial inverse problems for Sturm-Liouville operators on trees
Spectral Theory
2016-09-13 v2
Abstract
In this paper, inverse spectral problems for Sturm-Liouville operators on a tree (a graph without cycles) are studied. We show that if the potential on an edge is known a priori, then b - 1 spectral sets uniquely determine the potential functions on a tree with b external edges. Constructive solutions, based on the method of spectral mappings, are provided for the considered inverse problems.
Cite
@article{arxiv.1509.01534,
title = {Partial inverse problems for Sturm-Liouville operators on trees},
author = {Natalia Bondarenko and Chung-Tsun Shieh},
journal= {arXiv preprint arXiv:1509.01534},
year = {2016}
}
Comments
14 pages, 4 figures