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arXiv · 2210.16869

Inverse Dynamic Problem for the Dirac System on Finite Metric Tree Graphs and the Leaf Peeling Method

Sergei Avdonin·Nina Avdonina·Olha Sus
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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.

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Sergei Avdonin, Nina Avdonina, Olha Sus. 2022-10-30. Inverse Dynamic Problem for the Dirac System on Finite Metric Tree Graphs and the Leaf Peeling Method. https://arxiv.org/abs/2210.16869

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