Dr. Illia Karabash

Profile

Academic position	Lecturer, Assistant Professor, Researcher
Research fields	Operator theory,Ordinary differential equations,Partial differential equations
Keywords	Resonators and Optical cavities, Optimization, Resonance, Spectrum, Differential equations

Current contact address

Country	Germany
City	Bonn
Institution	Rheinische Friedrich-Wilhelms-Universität Bonn
Institute	Institut für Angewandte Mathematik (IAM)

Host during sponsorship

Prof. Dr. Herbert Koch	Mathematisches Institut (MI), Rheinische Friedrich-Wilhelms-Universität Bonn, Bonn
Start of initial sponsorship	01/11/2016

Programme(s)

2016	Humboldt Research Fellowship Programme for Experienced Researchers

Publications (partial selection)

2018	Illya M. Karabash, Jürgen Prestin Recovery of periodicities hidden in heavy-tailed noise. In: Mathematische Nachrichten, 2018, 86-102
2017	Illya M. Karabash, Olga M. Logachova, Ievgen V. Verbytskyi: Nonlinear BangBang Eigenproblems and Optimization of Resonances in Layered Cavities. In: Integral Equations and Operator Theory, 2017, 15-44
2017	Illya M. Karabash, Olga M. Logachova, and Ievgen V. Verbytskyi: Overdamped modes and optimization of resonances in layered cavities. . In: Methods of Functional Analysis and Topology, 2017, 252-260.
2017	Sergio Albeverio, Illya M Karabash: Resonance free regions and non-Hermitian spectral optimization for Schrödinger point interactions. In: Operators and Matrices, 2017, 1097-1117