12 citations · 12 across the 2 of their papers we have counts for
18 papers
Ornstein--Uhlenbeck Semigroups on Star Graphs
Delio Mugnolo, Abdelaziz Rhandi
We prove first existence of a classical solution to a class of parabolic problems with unbounded coefficients on metric star graphs subject to Kirchhoff-type conditions. The result…
On Pleijel's nodal domain theorem for quantum graphs
Matthias Hofmann, James B. Kennedy, Delio Mugnolo +1
We establish metric graph counterparts of Pleijel's theorem on the asymptotics of the number of nodal domains of the -th eigenfunction(s) of a broad class of operators on…
Dynamic Transmission Conditions for Linear Hyperbolic Systems on Networks
Marjeta Kramar Fijavž, Delio Mugnolo, Serge Nicaise
We study evolution equations on networks that can be modeled by means of hyperbolic systems. We extend our previous findings in \cite{KraMugNic20} by discussing well-posedness unde…
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…
A theory of spectral partitions of metric graphs
James B. Kennedy, Pavel Kurasov, Corentin Léna +1
We introduce an abstract framework for the study of clustering in metric graphs: after suitably metrising the space of graph partitions, we restrict Laplacians to the clusters thus…
Random evolution equations: well-posedness, asymptotics, and applications to graphs
Stefano Bonaccorsi, Francesca Cottini, Delio Mugnolo
We study diffusion-type equations supported on structures that are randomly varying in time. After settling the issue of well-posedness, we focus on the asymptotic behavior of solu…