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.

中文翻译：

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星图上Dirac算子的局部逆问题

研究了星图上Dirac算子的局部逆问题。我们在图上考虑Dirac算子，并证明了边缘上的电势是由其频谱的一部分和部分电势唯一确定的，前提是其余边缘上的电势是先验的。这将Horváth的结果扩展到图中的Dirac运算符。