3 papers
math.AP2023
Effective behaviour of critical-contrast PDEs: micro-resonances, frequency conversion, and time dispersive properties. II
Kirill Cherednichenko, Alexander Kiselev, Igor Velčić +1
We construct an order-sharp theory for a double-porosity model in the full linear elasticity setup. Crucially, we uncover time and frequency dispersive properties of highly oscilla…
math.SP2022
Mathematical Heritage of Sergey Naboko: Functional Models of Non-Self-Adjoint Operators
Alexander V. Kiselev, Vladimir Ryzhov
This is an overview of mathematical heritage of Sergey Naboko in the area of functional models of non-self-adjoint operators. It covers the works by Sergey in model construction, t…
math.SP2022
Asymptotic analysis of operator families and applications to resonant media
Kirill D. Cherednichenko, Yulia Yu. Ershova, Alexander V. Kiselev +2
We give an overview of operator-theoretic tools that have recently proved useful in the analysis of boundary-value and transmission problems for second-order partial differential e…