## Taiwanese Journal of Mathematics

### Recovery of the Schrödinger Operator on the Half-line from a Particular Set of Eigenvalues

#### 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.

#### Article information

Source
Taiwanese J. Math., Volume 21, Number 6 (2017), 1325-1334.

Dates
Revised: 24 February 2017
Accepted: 12 March 2017
First available in Project Euclid: 17 August 2017

https://projecteuclid.org/euclid.twjm/1502935249

Digital Object Identifier
doi:10.11650/tjm/8026

Mathematical Reviews number (MathSciNet)
MR3732908

Zentralblatt MATH identifier
06871371

#### Citation

Xu, Xiao-Chuan; Yang, Chuan-Fu. Recovery of the Schrödinger Operator on the Half-line from a Particular Set of Eigenvalues. Taiwanese J. Math. 21 (2017), no. 6, 1325--1334. doi:10.11650/tjm/8026. https://projecteuclid.org/euclid.twjm/1502935249

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