Quantum graphs via exercises

DOI10.1090/conm/720/14525zbMath1423.35260arXiv1711.07435OpenAlexW2964293429MaRDI QIDQ5236816

Ram Band, Sven Gnutzmann

Publication date: 16 October 2019

Published in: Spectral Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.07435

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (1)

Neumann domains on quantum graphs

Cites Work

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• On the spectral gap of a quantum graph
• Pucci eigenvalues on geodesic balls
• Spectra of Schrödinger operators on equilateral quantum graphs
• The spectrum of the continuous Laplacian on a graph
• Quantum graphs which optimize the spectral gap
• Relating zeta functions of discrete and quantum graphs
• Extremal properties of eigenvalues for a metric graph.
• A characteristic equation associated to an eigenvalue problem on \(c^ 2\)-networks
• The spectrum of the Hilbert space valued second derivative with general self-adjoint boundary conditions
• Can one hear the shape of a graph?
• Nodal domains on isospectral quantum graphs: the resolution of isospectrality?
• An elementary introduction to quantum graphs
• Edge connectivity and the spectral gap of combinatorial and quantum graphs
• Index theorems for quantum graphs
• Quantum graphs: I. Some basic structures
• Inverse spectral problem for quantum graphs

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