arXiv Open Access 2017

Inverse scattering problems where the potential is not absolutely continuous on the known interior subinterval

Yongxia Guo Guangsheng Wei
Lihat Sumber

Abstrak

The inverse scattering problem for the Schr$\mathrm{\ddot{o}}$dinger 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.

Topik & Kata Kunci

Penulis (2)

Y

Yongxia Guo

G

Guangsheng Wei

Format Sitasi

Guo, Y., Wei, G. (2017). Inverse scattering problems where the potential is not absolutely continuous on the known interior subinterval. https://arxiv.org/abs/1712.07779

Akses Cepat

Lihat di Sumber
Informasi Jurnal
Tahun Terbit
2017
Bahasa
en
Sumber Database
arXiv
Akses
Open Access ✓