Laplacians on bipartite metric graphs
From MaRDI portal
Publication:3389276
DOI10.7153/oam-2020-14-38zbMath1462.81097arXiv1907.00791OpenAlexW3090000656MaRDI QIDQ3389276
Jonathan Rohleder, Pavel Kurasov
Publication date: 10 May 2021
Published in: Operators and Matrices (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.00791
General spectral theory of ordinary differential operators (34L05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Boundary value problems on graphs and networks for ordinary differential equations (34B45) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)
Related Items (2)
Quantum trees which maximize higher eigenvalues are unbalanced ⋮ The Krein-von Neumann extension for Schrödinger operators on metric graphs
Cites Work
- Unnamed Item
- Unnamed Item
- On the spectral gap of a quantum graph
- Rayleigh estimates for differential operators on graphs
- Harmonic functions on metric graphs under the anti-Kirchhoff law
- Some inequalities between Dirichlet and Neumann eigenvalues
- Quantum graphs which optimize the spectral gap
- Extremal properties of eigenvalues for a metric graph.
- A characteristic equation associated to an eigenvalue problem on \(c^ 2\)-networks
- Eigenvalue estimates for the Laplacian with anti-Kirchhoff conditions on a metric tree
- Semigroup methods for evolution equations on networks
- The spectrum of the Hilbert space valued second derivative with general self-adjoint boundary conditions
- Schrödinger operators on graphs and geometry I: Essentially bounded potentials
- Eigenvalue estimates for the Laplacian on a metric tree
- Anomalous nodal count and singularities in the dispersion relation of honeycomb graphs
- On an inequality between Dirichlet and Neumann eigenvalues for the Laplace operator
- Surgery principles for the spectral analysis of quantum graphs
- Spectral gap for quantum graphs and their edge connectivity
- Edge connectivity and the spectral gap of combinatorial and quantum graphs
- Momentum operators on graphs
- Index theorems for quantum graphs
This page was built for publication: Laplacians on bipartite metric graphs
