Stability of direct and inverse scattering problems for the self-adjoint Schrödinger operators on the half-line

2021 ◽  
Vol 501 (2) ◽  
pp. 125217
Author(s):  
Xiao-Chuan Xu
Keyword(s):  
Inverse Scattering ◽  
Schrödinger Operators ◽  
The Self ◽  
Half Line ◽  
Schrodinger Operators ◽  
Scattering Problems ◽  
Inverse Scattering Problems

Spectral problems and scattering on noncompact star-shaped graphs containing finite rays

2015 ◽  
Vol 23 (1) ◽  
Author(s):  
Kiyoshi Mochizuki ◽  
Igor Trooshin
Keyword(s):  
Inverse Scattering ◽  
Schrödinger Operators ◽  
Low Energy ◽  
Scattering Problems ◽  
Spectral Problems ◽  
Inverse Scattering Problems ◽  
Energy Behavior ◽  
Spectral Representations

AbstractWe consider Schrödinger operators on noncompact star-shaped graphs. The following topics will be treated under suitable decay conditions on the potential: characterization of the set of eigenvalues and expression of each eigen-projection; low-energy behavior of the resolvent, spectral representations of the operator restricted on infinite rays; determination of the Marchenko equations and the inverse scattering problems.

A diagonalized improved subspace-based optimization method for solving 2-D inverse scattering problems

2017 ◽  
Vol 59 (8) ◽  
pp. 2089-2095 ◽  
Author(s):  
Yulang Liu ◽  
Zhiqin Zhao ◽  
Xiaozhang Zhu ◽  
Wei Yang ◽  
Zaiping Nie ◽  
...  
Keyword(s):  
Inverse Scattering ◽  
Optimization Method ◽  
Scattering Problems ◽  
Inverse Scattering Problems
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