A theory of spectral partitions of metric graphs

DOI10.1007/s00526-021-01966-yzbMath1462.35222arXiv2005.01126OpenAlexW3141730740WikidataQ115386686 ScholiaQ115386686MaRDI QIDQ2663595

Delio Mugnolo, Pavel Kurasov, James Bernard Kennedy, Corentin Léna

Publication date: 19 April 2021

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.01126

zbMATH Keywords

Dirichlet Laplacian on graphs

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Optimization of shapes other than minimal surfaces (49Q10) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Related Items (10)

Doubly nonlinear Schrödinger ground states on metric graphs ⋮ Stability of spectral partitions and the Dirichlet-to-Neumann map ⋮ Ground states for the NLS equation with combined local nonlinearities on noncompact metric graphs ⋮ Spectral minimal partitions of unbounded metric graphs ⋮ Neumann domains on quantum graphs ⋮ On the hot spots of 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 ⋮ Surgery principles for the spectral analysis of quantum graphs

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