Unified approach to critical-contrast homogenisation with explicit links to time-dispersive media

Kirill Cherednichenko, Yulia Ershova, Alexander V. Kiselev, Sergey Naboko

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Abstract

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 homogenisation limits to a class of time-dispersive media.
Original languageEnglish
Pages (from-to)251-294
JournalTransactions of the Moscow Mathematical Society
Volume80
Issue number2
DOIs
Publication statusPublished - 2019

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