Inverse Scattering Problem for Sturm--Liouville Operators
Classical Analysis and ODEs
2021-12-06 v1
Abstract
On the space the Sturm-Liouville operator with certain behavior of the potential at infinity is considered. It is proved that is uniquely determined by its scattering data. The recovery of is reduced to the solving of a certain linear integral equation.
Cite
@article{arxiv.2112.01990,
title = {Inverse Scattering Problem for Sturm--Liouville Operators},
author = {Hayk Asatryan},
journal= {arXiv preprint arXiv:2112.01990},
year = {2021}
}