Partial Inverse Problems for Dirac Operators on Star Graphs

Partial inverse problems for Dirac operators on star graphs are studied. We consider Dirac operators on the graphs, and prove that the potential on one edge is uniquely determined by part of its spectra and part of the potential provided that the potentials on the remaining edges are given a priori....

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Bibliographic Details
Published in:Mediterranean journal of mathematics 2020-12, Vol.17 (6), Article 180
Main Authors: Liu, Dai-Quan, Yang, Chuan-Fu
Format: Article
Language:English
Subjects:
Graphs
Inverse problems
Mathematics
Mathematics and Statistics
Operators
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Summary:Partial inverse problems for Dirac operators on star graphs are studied. We consider Dirac operators on the graphs, and prove that the potential on one edge is uniquely determined by part of its spectra and part of the potential provided that the potentials on the remaining edges are given a priori. This extends the results of Horváth to Dirac operators on the graphs.
ISSN:1660-5446
1660-5454
DOI:10.1007/s00009-020-01620-5