Alexander V. Kiselev

activity

20202023

most citedOperator-norm resolvent asymptotic analysis of continuous media with high-contrast inclusions

2 citations · 2 across the 5 of their papers we have counts for

collaborators

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3 papers · 1 filter

math.AP2022

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 $R^{d},$ $d \geq 2,$ converging to metric graphs in the limi…

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…