A partial inverse problem for the Sturm-Liouville operator on the graph with a loop
Spectral Theory
2017-11-16 v1
Abstract
The Sturm-Liouville operator with singular potentials on the lasso graph is considered. We suppose that the potential is known a priori on the boundary edge, and recover the potential on the loop from a part of the spectrum and some additional data. We prove the uniqueness theorem and provide a constructive algorithm for the solution of this partial inverse problem.
Keywords
Cite
@article{arxiv.1711.05660,
title = {A partial inverse problem for the Sturm-Liouville operator on the graph with a loop},
author = {Chuan-Fu Yang and Natalia P. Bondarenko},
journal= {arXiv preprint arXiv:1711.05660},
year = {2017}
}