Kirill D. Cherednichenko

activity

20142020

most citedResolvent estimates for high-contrast elliptic problems with periodic coefficients

38 citations · 41 across the 3 of their papers we have counts for

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3 papers · 1 filter

math.AP2020★ 2 cited

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…

math.AP2017★ 1 cited

Norm-Resolvent Convergence in Perforated Domains

Patrick Dondl, Kirill Cherednichenko, Frank Rösler

For several different boundary conditions (Dirichlet, Neumann, Robin), we prove norm-resolvent convergence for the operator $- Δ$ in the perforated domain $Ω\setminus \bigcup_{ i\in…

math.AP2014★ 38 cited

Resolvent estimates for high-contrast elliptic problems with periodic coefficients

Kirill Cherednichenko, Shane Cooper

We study the asymptotic behaviour of the resolvents $(A^{ε} + I)^{- 1}$ of elliptic second-order differential operators $A^{ε}$ in ${\mathbb R}^d…