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arXiv · 1712.09063

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.

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BibTeXRIS

A. S. Mikhaylov, V. S. Mikhaylov, G. E. Murzabekova. 2017-12-25. Inverse dynamic and spectral problems for the one-dimensional Dirac system on a finite tree. https://doi.org/10.1515/jiip-2017-0087

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