Kirill D. Cherednichenko

collaborators

2 papers

math.AP2020

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

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…