James B. Kennedy

activity

20102024

most citedThe nodal line of the second eigenfunction of the Robin Laplacian in

R^{2}

can be closed

2 citations · 6 across the 6 of their papers we have counts for

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3 papers · 1 filter

math.SP2024★ 1 cited

Towards a theory of eigenvalue asymptotics on infinite metric graphs: the case of diagonal combs

James B. Kennedy, Delio Mugnolo, Matthias Täufer

We examine diagonal combs, a recently identified class of infinite metric graphs whose properties depend on one parameter. These graphs exhibit a fascinating regime where they poss…

math.SP2024★ 1 cited

Optimizing the Fundamental Eigenvalue Gap of Quantum Graphs

Mohammed Ahrami, Zakaria El Allali, Evans M Harrell +1

We study the problem of minimizing or maximizing the fundamental spectral gap of Schrödinger operators on metric graphs with either a convex potential or a ``single-well'' potentia…

math.SP2012

Asymptotic behaviour and numerical approximation of optimal eigenvalues of the Robin Laplacian

Pedro R. S. Antunes, Pedro Freitas, James B. Kennedy

We consider the problem of minimising the $n^{t h} -$ eigenvalue of the Robin Laplacian in $R^{N}$ . Although for $n = 1, 2$ and a positive boundary parameter $α$ it is known tha…