30 citations · 55 across the 10 of their papers we have counts for
4 papers · 1 filter
Unified approach to critical-contrast homogenisation with explicit links to time-dispersive media
Kirill Cherednichenko, Yulia Ershova, Alexander Kiselev +1
A novel approach to critical-contrast homogenisation is proposed. Norm-resolvent asymptotics are explicitly constructed. An essential feature of our approach is that it relates hom…
Time-Dispersive Behaviour as a Feature of Critical Contrast Media
Kirill Cherednichenko, Yulia Ershova, Alexander V. Kiselev
Motivated by the urgent need to attribute a rigorous mathematical meaning to the term "metamaterial", we propose a novel approach to the homogenisation of critical-contrast composi…
Trace formulae for Schrodinger operators on metric graphs with applications to recovering matching conditions
Yulia Ershova, Alexander V. Kiselev
The paper is a continuation of the study started in \cite{Yorzh1}. Schrodinger operators on finite compact metric graphs are considered under the assumption that the matching condi…
Trace formulae for graph Laplacians with applications to recovering matching conditions
Yulia Ershova, Alexander V. Kiselev
Graph Laplacians on finite compact metric graphs are considered under the assumption that the matching conditions at the graph vertices are of either or type. In either ca…