Trace formulae for Schrodinger operators on metric graphs with applications to recovering matching conditions

zbMath1313.34093arXiv1404.0001MaRDI QIDQ2933256

Alexander V. Kiselev, Yulia Yu. Ershova

Publication date: 10 December 2014

Full work available at URL: https://arxiv.org/abs/1404.0001

zbMATH Keywords

matching conditionsWeyl functionboundary tripletsSchrödinger operators on metric graphs

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Weyl theory and its generalizations for ordinary differential equations (34B20) General theory of ordinary differential operators (47E05) Inverse problems involving ordinary differential equations (34A55) Asymptotic expansions of solutions to ordinary differential equations (34E05) Boundary value problems on graphs and networks for ordinary differential equations (34B45)

Related Items (4)

Isospectrality for graph Laplacians under the change of coupling at graph vertices ⋮ Spectral enclosures for non-self-adjoint extensions of symmetric operators ⋮ On inverse topology problem for Laplace operators on graphs ⋮ The Krein-von Neumann extension for Schrödinger operators on metric graphs

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