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Partial inverse problems for Sturm-Liouville operators on trees

In this paper, inverse spectral problems for Sturm-Liouville operators on a tree (a graph without cycles) are studied. We show that if the potential on an edge is known a priori, then b - 1 spectral sets uniquely determine the potential functions on a tree with b external edges. Constructive solutions, based on the method of spectral mappings, are provided for the considered inverse problems.

preprint2016arXivOpen access
Natalia BondarenkoChung-Tsun Shieh
math.SP
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Natalia BondarenkoChung-Tsun Shieh

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