Inverse problems for Dirac operator with the potential known on an interior subinterval
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.
scientific article; zbMATH DE number 7074215