G$$ G $$‐Convergence of Friedrichs Systems Revisited

ABSTRACT

We revisit the homogenization theory for Friedrichs systems. In particular, we show that ‐compactness can be obtained under severely weaker assumptions than in the original work of Burazin and Vrdoljak (2014). In this way, we extend the applicability of ‐compactness results for Friedrichs systems to equations that yield memory effects in the homogenized limit and detour any usage of compactness techniques previously employed.

MSC2020 Classification: 35B27, 35F45, 35M32, 47F05