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Partial Inverse Problems for Dirac Operators on Star Graphs

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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… Click to show full abstract

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 Horvath to Dirac operators on the graphs.

Keywords: dirac operators; problems dirac; star graphs; inverse problems; partial inverse; operators star

Journal Title: Mediterranean Journal of Mathematics
Year Published: 2020

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