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Inverse problems for radial Schr?dinger operators with the missing part of eigenvalues
作者姓名:Xin-Jian Xu  Chuan-Fu Yang  Vjacheslav A.Yurko  Ran Zhang
作者单位:1. Department of Mathematics,School of Mathematics and Statistics,Nanjing University of Science and Technology;2. Department of Mathematics,Saratov State University;3. Department of Mathematics,School of Science,Nanjing University of Posts and Telecommunications
基金项目:supported by National Natural Science Foundation of China (Grant No. 11871031);;the Natural Science Foundation of Jiangsu Province of China (Grant No. BK 20201303);
摘    要:We study inverse spectral problems for radial Schr?dinger operators in L2(0, 1). It is well known that for a radial Schr?dinger operator, two spectra for the different boundary conditions can uniquely determine the potential. However, if the spectra corresponding to the radial Schr?dinger operators with the two potential functions miss a finite number of eigenvalues, what is the relationship between the two potential functions?Inspired by Hochstadt(1973)’s work, which handled the Stur...

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