Calderón-Zygmund estimate for homogenization of parabolicsystems

Sun‐Sig Byun, Yunsoo Jang · Discrete and Continuous Dynamical Systems · 2016

We establish a global Calderón-Zygmund estimate forhomogenization of a parabolic system in divergence form withdiscontinuous coefficients in a bounded nonsmooth domain under theassumptions that the coefficients have small BMO seminorms and theboundary of the domain is $\delta$-flat for some $\delta>0$depending on the given data.

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