Open Access
December, 2017 Recovery of the Schrödinger Operator on the Half-line from a Particular Set of Eigenvalues
Xiao-Chuan Xu, Chuan-Fu Yang
Taiwanese J. Math. 21(6): 1325-1334 (December, 2017). DOI: 10.11650/tjm/8026

Abstract

In this work, we study the Schrödinger operator on the half-line with a selfadjoint boundary condition. We prove that a particular set of eigenvalues can uniquely determine the potential. The reconstruction algorithm for recovering the potential from the particular data is provided.

Citation

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Xiao-Chuan Xu. Chuan-Fu Yang. "Recovery of the Schrödinger Operator on the Half-line from a Particular Set of Eigenvalues." Taiwanese J. Math. 21 (6) 1325 - 1334, December, 2017. https://doi.org/10.11650/tjm/8026

Information

Received: 20 June 2016; Revised: 24 February 2017; Accepted: 12 March 2017; Published: December, 2017
First available in Project Euclid: 17 August 2017

zbMATH: 06871371
MathSciNet: MR3732908
Digital Object Identifier: 10.11650/tjm/8026

Subjects:
Primary: 34A55 , 34B24 , 47E05

Keywords: inverse eigenvalue problem , reconstruction algorithm , Schrödinger operator on the half-line

Rights: Copyright © 2017 The Mathematical Society of the Republic of China

Vol.21 • No. 6 • December, 2017
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