Spectral minimal partitions of unbounded metric graphs
DOI10.4171/jst/462arXiv2209.03658OpenAlexW4386881722MaRDI QIDQ6062694
Andrea Serio, James Bernard Kennedy, Matthias Hofmann
Publication date: 6 November 2023
Published in: Journal of Spectral Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2209.03658
Schrödinger operatorLaplacianspectral geometrymetric graphquantum graphlocally finite graphspectral minimal partition
Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Optimization of shapes other than minimal surfaces (49Q10) Distance in graphs (05C12) Electro- and magnetostatics (78A30) Boundary value problems on graphs and networks for ordinary differential equations (34B45) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)
Cites Work
- Unnamed Item
- Unnamed Item
- The number of nodal domains on quantum graphs as a stability index of graph partitions
- A lower bound for nodal count on discrete and metric graphs
- Spectral estimates for infinite quantum graphs
- Nodal statistics on quantum graphs
- On a class of optimal partition problems related to the Fučík spectrum and to the monotonicity formulae
- Introduction to spectral theory. With applications to Schrödinger operators
- Spectral theory of infinite quantum graphs
- Nodal deficiency, spectral flow, and the Dirichlet-to-Neumann map
- On the ground state for quantum graphs
- Asymptotics and estimates for spectral minimal partitions of metric graphs
- Interlacing and Friedlander-type inequalities for spectral minimal partitions of metric graphs
- On Pleijel's nodal domain theorem for quantum graphs
- Computing nodal deficiency with a refined Dirichlet-to-Neumann map
- A theory of spectral partitions of metric graphs
- Stability of spectral partitions and the Dirichlet-to-Neumann map
- NLS ground states on metric trees: existence results and open questions
- SCHRÖDINGER OPERATORS ON HOMOGENEOUS METRIC TREES: SPECTRUM IN GAPS
- Ground state and orbital stability for the NLS equation on a general starlike graph with potentials
- 10 Nodal and spectral minimal partitions – The state of the art in 2016 –
- Schrödinger operators with locally integrable potentials on infinite metric graphs
- On the spectrum of the Laplacian on regular metric trees
- Bounds for the Discrete Part of the Spectrum of a Semi-Bounded Schrödinger Operator.
- Self‐adjoint and Markovian extensions of infinite quantum graphs
This page was built for publication: Spectral minimal partitions of unbounded metric graphs
