Recovering Dirac Operator with Nonlocal Boundary Conditions

TL;DR

This paper investigates inverse problems for the Dirac operator with nonlocal boundary conditions, establishing uniqueness theorems based on spectral data, thus extending classical inverse problem results to more general nonlocal settings.

Contribution

It generalizes the Weyl function and Borg's inverse problem for the Dirac operator to include nonlocal boundary conditions, providing new uniqueness theorems.

Findings

Uniqueness theorems from Weyl-type functions

Spectral data determine the operator uniquely

Extension of classical inverse problems to nonlocal conditions

Abstract

In this paper inverse problems for Dirac operator with nonlocal conditions are considered. Uniqueness theorems of inverse problems from the Weyl-type function and spectra are provided, which are generalizations of the well-known Weyl function and Borg's inverse problem for the classical Dirac operator.