We consider the inverse problem for the second-order differential operators with regular singularity and show that the potential function can be uniquely determined by the set of values of eigenfunctions at a certain interior point and parts of two spectra.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 64, No. 11, pp. 1516–1525, November, 2012.
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Panakhov, E.S., Sat, M. Inverse problem for the interior spectral data of the equation of hydrogen atom. Ukr Math J 64, 1716–1726 (2013). https://doi.org/10.1007/s11253-013-0746-1
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DOI: https://doi.org/10.1007/s11253-013-0746-1