Inverse problems for Dirac operator with the potential known on an interior subinterval
type: Item
instance of: scholarly article
title: Inverse problems for Dirac operator with the potential known on an interior subinterval
zbMATH Open document ID: 1425.34042
author: Yongxia Guo
author: Guangsheng Wei
author: Ruoxia Yao
published in: Analysis and Mathematical Physics
publication date: 2019-06-27T00:00:00Z
review text: This article is concerned with inverse spectral theory for the Dirac operator \[ L y = \begin{pmatrix} 0 & 1 \\ -1 & 0 \end{pmatrix} y' - \begin{pmatrix} p & 0 \\ 0 & q \end{pmatrix} y \] on a compact interval with self-adjoint boundary conditions at the endpoints, where \(p\) and \(q\) are real-valued continuous functions. As their main result, the authors prove that the matrix potential and the boundary conditions are uniquely determined by parts of the eigenvalues and certain other spectral data when the potential is known a priori on an interior subinterval.
reviewed by: Jonathan Eckhardt
Mathematics Subject Classification ID: 34A55
Mathematics Subject Classification ID: 34L05
Mathematics Subject Classification ID: 34L40
zbMATH DE Number: 7074215
zbMATH Keywords: Dirac operators
zbMATH Keywords: inverse spectral theory
zbMATH Keywords: interior spectral data
MaRDI profile type: Publication
full work available at URL: s13324-017-0188-2
OpenAlex ID: W2752343581
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DOI: 10.1007/S13324-017-0188-2
description: scientific article; zbMATH DE number 7074215