A sharp lower bound for a resonance-counting function in even dimensions
A sharp lower bound for a resonance-counting function in even dimensions
This paper proves sharp lower bounds on a resonance-counting function for obstacle scattering in even-dimensional Euclidean space without a need for trapping assumptions. Similar lower bounds are proved for some other compactly supported perturbations of -Δ on ℝ d , for example, for the Laplacian for certain metric perturbations on …