Resonances of Schr\" odinger Hamiltonians with point interactions are considered. The main
object under the study is the resonance free region under the assumption that the centers …

Motivated by engineering and photonics research on resonators in random or uncertain
environments, we study rigorous randomizations of boundary conditions for wave equations …

We prove that the set of resonances Σ (H) has a multilevel asymptotic structure for the
following classes of Hamiltonians H: Schrödinger operators with point interactions yj∈ R 3 …

We derive Euler–Lagrange equations for the structural optimization of exponential decay
rate of standing waves in 3-D leaky optical cavities. This leads to a new class of time …

The aim of the paper is to reduce one spectral optimization problem, which involves the
minimization of the decay rate| Im κ| of a resonance κ, to a collection of optimal control …

We study the problem of optimizing the imaginary parts $\mathrm {Im}\,\omega $ of quasi-
normal-eigenvalues $\omega $ associated with the equation $ y''=-\omega^ 2 B y $. It is …

We introduce and study the following model for random resonances: we take a collection Υ
of point interactions Υ j generated by a simple finite point process in R 3 and consider the …