Inverse dynamic and spectral problems for the one-dimensional Dirac system on a finite tree

Abstract

We consider inverse dynamic and spectral problems for the one dimensional Dirac system on a finite tree. Our aim will be to recover the topology of a tree (lengths and connectivity of edges) as well as matrix potentials on each edge. As inverse data we use the Weyl-Titchmarsh matrix function or the dynamic response operator.

References in corpus (3)

• Inverse problem for one-dimensional dynamical Dirac system (BC-method)
• On the inverse problem of the two-velocity tree-like graph
• On some applications of the Boundary Control method to spectral estimation and inverse problems