24 citations · 77 across the 23 of their papers we have counts for
4 papers · 1 filter
The Krein-von Neumann extension for Schrödinger operators on metric graphs
Jacob Muller, Jonathan Rohleder
The Krein-von Neumann extension is studied for Schrödinger operators on metric graphs. Among other things, its vertex conditions are expressed explicitly, and its relation to other…
Quantum trees which maximize higher eigenvalues are unbalanced
Jonathan Rohleder
The isoperimetric problem of maximizing all eigenvalues of the Laplacian on a metric tree graph within the class of trees of a given average edge length is studied. It turns out th…
On the hot spots of quantum graphs
James B. Kennedy, Jonathan Rohleder
We undertake a systematic investigation of the maxima and minima of the eigenfunctions associated with the first nontrivial eigenvalue of the Laplacian on a metric graph equipped w…
A Calderón type inverse problem for tree graphs
Hannes Gernandt, Jonathan Rohleder
We study the inverse problem of recovering a tree graph together with the weights on its edges (equivalently a metric tree) from the knowledge of the Dirichlet-to-Neumann matrix as…