Abstract
It is shown that all the transmission eigenvalues (including multiplicity) of the Schrödinger operator on the half line can not uniquely determine the potential if the certain constant \(\gamma \) is unknown, which gives an answer to the open question raised by Aktosun et al. (Inverse Probl 30:075001, 2014).
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Acknowledgements
The author Xu was supported in part by the Startup Foundation for Introducing Talent of NUIST. The author Yang was supported in part by the National Natural Science Foundation of China (11611530682 and 11871031).
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Xu, XC., Yang, CF. On a Non-uniqueness Theorem of the Inverse Transmission Eigenvalues Problem for the Schrödinger Operator on the Half Line. Results Math 74, 103 (2019). https://doi.org/10.1007/s00025-019-1033-8
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DOI: https://doi.org/10.1007/s00025-019-1033-8