Inverse scattering problems where the potential is not absolutely continuous on the known interior subinterval
Spectral Theory
2018-02-14 v1
Abstract
The inverse scattering problem for the Schrdinger operators on the line is considered when the potential is real valued and integrable and has a finite first moment. It is shown that the potential on the line is uniquely determined by the left (or right) reflection coefficient alone provided that the potential is known on a finite interval and it is not absolutely continuous on this known interval.
Cite
@article{arxiv.1712.07779,
title = {Inverse scattering problems where the potential is not absolutely continuous on the known interior subinterval},
author = {Yongxia Guo and Guangsheng Wei},
journal= {arXiv preprint arXiv:1712.07779},
year = {2018}
}