Rayleigh estimates for differential operators on graphs
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Publication:402278
DOI10.4171/JST/67zbMath1301.34108OpenAlexW2076283040MaRDI QIDQ402278
Publication date: 27 August 2014
Published in: Journal of Spectral Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4171/jst/67
General spectral theory of ordinary differential operators (34L05) Boundary value problems on graphs and networks for ordinary differential equations (34B45)
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Cites Work
- Unnamed Item
- The number of nodal domains on quantum graphs as a stability index of graph partitions
- Non-Weyl resonance asymptotics for quantum graphs in a magnetic field
- Graph Laplacians and topology
- Scattering problems on noncompact graphs
- Free quantum motion on a branching graph
- Periodic orbit theory and spectral statistics for quantum graphs
- Extremal properties of eigenvalues for a metric graph.
- Genericity of simple eigenvalues for a metric graph
- On the ground state of quantum graphs with attractive \(\delta \)-coupling
- Non-Weyl resonance asymptotics for quantum graphs
- Schrödinger operators on graphs and geometry I: Essentially bounded potentials
- Stability of nodal structures in graph eigenfunctions and its relation to the nodal domain count
- Non-Weyl asymptotics for quantum graphs with general coupling conditions
- Quantum chaos on discrete graphs
- Kirchhoff's rule for quantum wires
- Quantum graphs: a simple model for chaotic scattering
- On the inverse scattering problem on branching graphs
- An inverse spectral theorem
- Momentum operators on graphs
- Quantum graphs: I. Some basic structures
- Quantum graphs: II. Some spectral properties of quantum and combinatorial graphs
- Quantum Graphs and Their Applications
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