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Oscillatory integrals and periodic homogenization of Robin boundary value problems

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 نشر من قبل Jinping Zhuge
 تاريخ النشر 2019
  مجال البحث
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In this paper, we consider a family of second-order elliptic systems subject to a periodically oscillating Robin boundary condition. We establish the qualitative homogenization theorem on any Lipschitz domains satisfying a non-resonance condition. We also use the quantitative estimates of oscillatory integrals to obtain the dimension-dependent convergence rates in $L^2$, assuming that the domain is smooth and strictly convex.



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