30 citations · 94 across the 17 of their papers we have counts for
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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…
Functional model for generalised resolvents and its application to time-dispersive media
Kirill D. Cherednichenko, Yulia Yu. Ershova, Sergey N. Naboko
Motivated by recent results concerning the asymptotic behaviour of differential operators with highly contrasting coefficients, which have involved effective descriptions involving…
Functional model for extensions of symmetric operators and applications to scattering theory
Kirill D. Cherednichenko, Alexander V. Kiselev, Luis O. Silva
On the basis of the explicit formulae for the action of the unitary group of exponentials corresponding to almost solvable extensions of a given closed symmetric operator with equa…