On Pleijel's nodal domain theorem for quantum graphs

DOI10.1007/s00023-021-01077-6zbMath1483.34048arXiv2012.05808OpenAlexW3176751429MaRDI QIDQ2051479

James Bernard Kennedy, Delio Mugnolo, Matthias Hofmann, Marvin Plümer

Publication date: 24 November 2021

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.05808

Mathematics Subject Classification ID

Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Graph theory (05C99) Boundary value problems on graphs and networks for ordinary differential equations (34B45) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items

Doubly nonlinear Schrödinger ground states on metric graphs, Minimizing optimal transport for functions with fixed-size nodal sets, Ground states for the NLS equation with combined local nonlinearities on noncompact metric graphs, Spectral minimal partitions of unbounded metric graphs, On fully supported eigenfunctions of quantum graphs

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