2 papers
math-ph2024
Optimization of quantum graph eigenvalues with preferred orientation vertex conditions
Pavel Exner, Jonathan Rohleder
We discuss Laplacian spectrum on a finite metric graph with vertex couplings violating the time-reversal invariance. For the class of star graphs we determine, under the condition…
math.SP2024
Curl curl versus Dirichlet Laplacian eigenvalues
Jonathan Rohleder
We provide an upper estimate for the eigenvalues of the curl curl operator on a bounded, three-dimensional Euclidean domain in terms of eigenvalues of the Dirichlet Laplacian. The…