Abstract
In this paper, the half inverse problem and interior inverse problems for Dirac operators with discontinuity inside the interval (0, T) is considered. It is shown that (i) if the potential is given on \(\Big (0,\frac{(1+\alpha )T}{4}\Big )\), then one spectrum can uniquely determine the potential on the whole interval; (ii) one spectrum and a set of values of eigenfunctions at some internal points can also uniquely determine the potential on the whole interval.
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Acknowledgements
This work was supported in part by Natural Science Research Start-up Foundation of Recruiting Talents of Nanjing University of Posts and Telecommunications (Grant No.NY222023 and No.NY222085), and the authors K. Wang was supported in part by the National Natural Science Foundation of China (52205595).
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Kai Wang wrote the main manuscript text Ran Zhang searched literatures Chuan-fu Yang embellished language.
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Wang, K., Zhang, R. & Yang, CF. Half inverse problem and interior inverse problem for the Dirac operators with discontinuity. Anal.Math.Phys. 14, 53 (2024). https://doi.org/10.1007/s13324-024-00913-2
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DOI: https://doi.org/10.1007/s13324-024-00913-2