46 citations · 144 across the 25 of their papers we have counts for
4 papers · 1 filter
Two escape rates for negative eigenvalues of quantum graphs with a shrinking core
Gregory Berkolaiko, Denis Borisov, Marshall King +1
We study the negative spectrum of the Laplacian on a metric graph with general vertex matching conditions and with two length scales: a compact core whose edges have length of orde…
Spectrum of the wave equation with Dirac damping on a non-compact star graph
David Krejcirik, Julien Royer
We consider the wave equation on non-compact star graphs, subject to a distributional damping defined through a Robin-type vertex condition with complex coupling. It is shown that…
Non-accretive Schrödinger operators and exponential decay of their eigenfunctions
David Krejcirik, Nicolas Raymond, Julien Royer +1
We consider non-self-adjoint electromagnetic Schrödinger operators on arbitrary open sets with complex scalar potentials whose real part is not necessarily bounded from below. Unde…
Mourre's method for a dissipative form perturbation
Julien Royer
We prove uniform resolvent estimates for an abstract operator given by a dissipative perturbation of a self-adjoint operator in the sense of forms. For this we adapt the commutator…