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Register a new userRegularity theory of elliptic systems in $varepsilon$-scale flat domains
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Jinping Zhuge
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We consider the linear elliptic systems or equations in divergence form with periodically oscillating coefficients. We prove the large-scale boundary Lipschitz estimate for the weak solutions in domains satisfying the so-called $varepsilon$-scale flatness condition, which could be arbitrarily rough below $varepsilon$-scale. This particularly generalizes Kenig and Pranges work in [32] and [33] by a quantitative approach.
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