5 citations · 5 across the 1 of their papers we have counts for
4 papers
Pareto optimization of resonances and minimum-time control
Illya M. Karabash, Herbert Koch, Ievgen V. Verbytskyi
The aim of the paper is to reduce one spectral optimization problem, which involves the minimization of the decay rate of a resonance , to a collection of…
On the multilevel internal structure of the asymptotic distribution of resonances
Sergio Albeverio, Illya M. Karabash
We prove that the asymptotic distribution of resonances has a multilevel internal structure for the following classes of Hamiltonians H: Schrödinger operators with point interactio…
Generic asymptotics of resonance counting function for Schrödinger point interactions
Sergio Albeverio, Illya M. Karabash
We study the leading coefficient in the asymptotical formula , , for the resonance counting function of Schrödinger Hamilton…
Nonlinear eigenvalue problem for optimal resonances in optical cavities
I. M. Karabash
The paper is devoted to optimization of resonances in a 1-D open optical cavity. The cavity's structure is represented by its dielectric permittivity function e(s). It is assumed t…