Lower estimates on eigenvalues of quantum graphs
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Publication:3389285
DOI10.7153/oam-2020-14-47zbMath1460.34036arXiv1907.13350OpenAlexW3089472445MaRDI QIDQ3389285
Publication date: 10 May 2021
Published in: Operators and Matrices (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.13350
Estimates of eigenvalues in context of PDEs (35P15) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) 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 ⋮ Upper eigenvalue bounds for the Kirchhoff Laplacian on embedded metric graphs
Cites Work
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- On the spectral gap of a quantum graph
- Rayleigh estimates for differential operators on graphs
- Pucci eigenvalues on geodesic balls
- Operators over regular maps
- Spectral estimates for infinite quantum graphs
- 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
- Cheeger inequalities for unbounded graph Laplacians
- A transfer principle and applications to eigenvalue estimates for graphs
- Semigroup methods for evolution equations on networks
- Spectra of combinatorial Laplace operators on simplicial complexes
- Variational and semigroup methods for waves and diffusion in networks
- Eigenvalue estimates for the Laplacian on a metric tree
- Surgery principles for the spectral analysis of quantum graphs
- Edge connectivity and the spectral gap of combinatorial and quantum graphs
- Analytic Inequalities
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