Inverse Sturm–Liouville problems with the potential known on an interior subinterval |
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| Authors: | Yongxia Guo |
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| Institution: | College of Mathematics and Information Science, Shaanxi Normal University, Xi’an, 710062 P.R. China. |
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| Abstract: | The uniqueness problem of inverse Sturm–Liouville problems with the potential known on an interior subinterval is considered. We prove that the potential on the entire interval and boundary conditions are uniquely determined in terms of the known eigenvalues and some information on the eigenfunctions at some interior point (interior spectral data). Moreover, we also concern with the situation where the potential q is C2k-smoothness at some given points. |
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| Keywords: | eigenvalue interior spectral data inverse spectral problem |
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