Direct and inverse problems for a periodic problem with non-local potential
Functional Analysis
2020-01-17 v1
Abstract
Sum of a second derivative operator with periodic boundary conditions and an integral operator of rank one (non-local potential) is studied in this manuscript. Not only spectral analysis is conducted for this operator but the inverse problem is solved, viz., a method of the reconstruction of non-local potential by the spectral data is presented. Class of spectral data that give the solution to the inverse problem is described.
Cite
@article{arxiv.2001.05771,
title = {Direct and inverse problems for a periodic problem with non-local potential},
author = {Vladimir A. Zolotarev},
journal= {arXiv preprint arXiv:2001.05771},
year = {2020}
}