2 citations · 2 across the 5 of their papers we have counts for
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Effective behaviour of critical-contrast PDEs: micro-resonances, frequency conversion, and time dispersive properties. II
Kirill Cherednichenko, Alexander Kiselev, Igor Velčić +1
We construct an order-sharp theory for a double-porosity model in the full linear elasticity setup. Crucially, we uncover time and frequency dispersive properties of highly oscilla…
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 converging to metric graphs in the limi…
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…