77 citations · 956 across the 77 of their papers we have counts for
5 papers · 1 filter
Asymptotics and estimates for spectral minimal partitions of metric graphs
Matthias Hofmann, James B. Kennedy, Delio Mugnolo +1
We study properties of spectral minimal partitions of metric graphs within the framework recently introduced in [Kennedy et al, Calc. Var. 60 (2021), 61]. We provide sharp lower an…
Airy-type evolution equations on star graphs
Delio Mugnolo, Diego Noja, Christian Seifert
In the present paper the Airy operator on star graphs is defined and studied. The Airy operator is a third order differential operator arising in different contexts, but our main c…
Laplacians on quantum hypergraphs
Delio Mugnolo
We introduce quantum hypergraphs, in analogy with the theory of quantum graphs developed over the last 15 years by many authors. We emphasize some problems that arise when one trie…
A Frucht's theorem for quantum graphs
Delio Mugnolo
A celebrated theorem due to R. Frucht states that, roughly speaking, each group is isomorphic to the symmetry group of some graph. By "symmetry group" the group of all graph automo…
Towards a gauge theory for evolution equations on vector-valued spaces
Stefano Cardanobile, Delio Mugnolo
We investigate symmetry properties of vector-valued diffusion and Schrödinger equations. For a separable Hilbert space we characterize the subspaces of that are loc…