Partial inverse problems for the Sturm-Liouville operator on a star-shaped graph with different edge lengths
type: Item
instance of: scholarly article
title: Partial inverse problems for the Sturm-Liouville operator on a star-shaped graph with different edge lengths
zbMATH Open document ID: 1396.34005
author: Natalia Bondarenko
author: Chuan-Fu Yang
published in: Results in Mathematics
publication date: 2018-07-23T00:00:00Z
review text: Sturm-Liouville operators with singular potentials are considered on a star-shaped graph. It is assumed that the potentials are known a priori on a part of the edges. Partial inverse problems are studied, that consist in recovering the potentials on the other edges from a fractional part of the spectrum and some additional spectral data. Three uniqueness theorems are proved, and algorithms for constructing solutions of this inverse problems are provided.
Mathematics Subject Classification ID: 34A55
Mathematics Subject Classification ID: 34B24
Mathematics Subject Classification ID: 47E05
Mathematics Subject Classification ID: 34B45
zbMATH DE Number: 6909675
zbMATH Keywords: Sturm-Liouville operators
zbMATH Keywords: singular potential
zbMATH Keywords: star-shaped graph
zbMATH Keywords: partial inverse spectral problem
reviewed by: V. A. Yurko
MaRDI profile type: Publication
full work available at URL: s00025-018-0817-6
OpenAlex ID: W2791765583
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Wikidata QID: Q130079159
DOI: 10.1007/S00025-018-0817-6
description: scientific article; zbMATH DE number 6909675