2 citations · 2 across the 5 of their papers we have counts for
5 papers
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…
Norm-resolvent convergence for Neumann Laplacians on manifolds thinning to graphs
Kirill D. Cherednichenko, Yulia Yu. Ershova, Alexander V. Kiselev
Norm-resolvent convergence with order-sharp error estimate is established for Neumann Laplacians on thin domains in converging to metric graphs in the limi…
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…
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…
Operator-norm resolvent asymptotic analysis of continuous media with high-contrast inclusions
Kirill D. Cherednichenko, Alexander V. Kiselev, Luis O. Silva
Using a generalisation of the classical notion of Dirichlet-to-Neumann map and the related formulae for the resolvents of boundary-value problems, we analyse the asymptotic behavio…