ISOSPECTRALITY FOR GRAPH LAPLACIANS UNDER THE CHANGE OF COUPLING AT GRAPH VERTICES: NECESSARY AND SUFFICIENT CONDITIONS

DOI10.1112/S0025579314000394zbMath1396.47002arXiv1405.5016MaRDI QIDQ3465572

Irina I. Karpenko, Alexander V. Kiselev, Yulia Yu. Ershova

Publication date: 22 January 2016

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.5016

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) General theory of ordinary differential operators (47E05) Inverse problems involving ordinary differential equations (34A55) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (6)

Isospectrality for graph Laplacians under the change of coupling at graph vertices ⋮ On inverse topology problem for Laplace operators on graphs ⋮ Scattering theory for a class of non-selfadjoint extensions of symmetric operators ⋮ Linear Operators and Operator Functions Associated with Spectral Boundary Value Problems ⋮ Functional model for extensions of symmetric operators and applications to scattering theory ⋮ Time-Dispersive Behavior as a Feature of Critical-Contrast Media

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