Serena D'Onofrio

collaborators

3 papers

math.AP2020

Spatial non-locality of the Maxwell system on periodic structures

Kirill Cherednichenko, Serena D'Onofrio

For $ε > 0,$ we analyse the Maxwell system of equations of electromagnetism on $ε$ -periodic sets $S^{ε} \subset R^{3} .$ Assuming that a family of Bo…

math.AP2018

Operator-norm homogenisation estimates for the system of Maxwell equations on periodic singular structures

Kirill Cherednichenko, Serena D'Onofrio

For arbitrarily small values of $ε > 0,$ we formulate and analyse the Maxwell system of equations of electromagnetism on $ε$ -periodic sets $S^\varepsilon\subset{\…

math.AP2018

Operator-norm convergence estimates for elliptic homogenisation problems on periodic singular structures

Kirill Cherednichenko, Serena D'Onofrio

For a an arbitrary periodic Borel measure $μ$ , we prove order $O (ε)$ operator-norm resolvent estimates for the solutions to scalar elliptic problems in $L^2({\mathbb R}^d…