Inverse Dynamic Problem for the Dirac System on Finite Metric Tree Graphs and the Leaf Peeling Method
Analysis of PDEs
2024-07-26 v4
Abstract
In this paper, we consider the inverse dynamic problem for the Dirac system on finite metric tree graphs. Our main goal is to recover the topology (connectivity) of a tree, lengths of edges, and a matrix potential function on each edge. We use the dynamic response operator as our inverse data and apply the Leaf peeling method. In addition, we present a new dynamic algorithm to solve the forward problem for the Dirac system on general finite metric graphs.
Cite
@article{arxiv.2210.16869,
title = {Inverse Dynamic Problem for the Dirac System on Finite Metric Tree Graphs and the Leaf Peeling Method},
author = {Sergei Avdonin and Nina Avdonina and Olha Sus},
journal= {arXiv preprint arXiv:2210.16869},
year = {2024}
}