Abstract
We consider inverse subinterval-nodal problems for the Sturm–Liouville operator on a star graph with mixed boundary conditions in pendant vertices and the standard matching conditions at the interior vertex. Can subinterval nodes recognize star-shaped quantum graphs? In this paper we give a positive answer. It is shown that the data of subinterval-nodes near the interior vertex can uniquely determine the potential on a graph and boundary conditions.
Funding Statement
This work was supported in part by the National Natural Science
Foundation of China (11871031) and by the Natural Science Foundation of the Jiangsu Province of
China (BK 20201303).
Citation
Chuan-Fu Yang. Sheng-Yu Guan. "Reconstruction of the Sturm–Liouville Operator on a Graph from Subinterval Nodes." Taiwanese J. Math. 25 (5) 1041 - 1052, October, 2021. https://doi.org/10.11650/tjm/210302
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