38 citations · 41 across the 3 of their papers we have counts for
3 papers
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 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 of elliptic second-order differential operators in ${\mathbb R}^d…