On inverse problems for finite trees

Academic Article


  • In this paper two classical theorems by Levinson and Marchenko for the inverse problem of the Schrödinger equation on a compact interval are extended to finite trees. Specifically, (1) the Dirichlet eigenvalues and the Neumann data of the eigenfunctions determine the potential uniquely (a Levinson-type result) and (2) the Dirichlet eigenvalues and a set of generalized norming constants determine the potential uniquely (a Marchenko-type result).
  • Authors

    Digital Object Identifier (doi)

    Author List

  • Brown BM; Weikard R
  • Start Page

  • 31
  • End Page

  • 48
  • Volume

  • 186