Work

On inverse topology problem for Laplace operators on graphs

Year: 2014

Type: article

Abstract: Laplacian operators on finite compact metric graphs are considered under the assumption that matching conditions at graph vertices are of $\delta$ type. Under one additional assumption, the inverse topology problem is treated. Using the apparatus of boundary triples, we generalize and extend existing results on necessary conditions of isospectrality of two Laplacians defined on different graphs. A result is also given covering the case of Schrodinger operators.

Source: Carpathian Mathematical Publications

DOI: 10.15330/cmp.6.2.230-236

Authors: Yu.Yu. Ershova, I.I. Karpenko, A.V. Kiselev

Institutions: National Academy of Sciences of Ukraine, Institute of Mathematics, Taurida National V.I. Vernadsky University, Pidstryhach Institute for Applied Problems of Mechanics and Mathematics

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W2002196472

FWCI:

Cites: 21

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Related to: 9