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arXiv · 1509.01534

Partial inverse problems for Sturm-Liouville operators on trees

Natalia Bondarenko·Chung-Tsun Shieh
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Abstract

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.

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Natalia Bondarenko, Chung-Tsun Shieh. 2016-09-11. Partial inverse problems for Sturm-Liouville operators on trees. https://arxiv.org/abs/1509.01534

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