Ambarzumian's theorem for trees

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dc.contributor.authorCarlson, Robert
dc.contributor.authorPivovarchik, Vyacheslav
dc.date.accessioned2021-08-18T13:24:17Z
dc.date.available2021-08-18T13:24:17Z
dc.date.issued2007-10-24
dc.description.abstractThe classical Ambarzumian's Theorem for Schrödinger operators -D2 + q on an interval, with Neumann conditions at the endpoints, says that if the spectrum of (-D2 + q) is the same as the spectrum of (-D2) then q = 0. This theorem is generalized to Schrödinger operators on metric trees with Neumann conditions at the boundary vertices.
dc.description.departmentMathematics
dc.formatText
dc.format.extent9 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationCarlson, R., & Pivovarchik, V. (2007). Ambarzumian's theorem for trees. <i>Electronic Journal of Differential Equations, 2007</i>(142), pp. 1-9.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14356
dc.language.isoen
dc.publisherTexas State University-San Marcos, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2007, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectInverse eigenvalue problem
dc.subjectQuantum graph
dc.titleAmbarzumian's theorem for trees
dc.typeArticle

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