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arxiv: 1604.06735 · v1 · pith:6BHQAYYJnew · submitted 2016-04-22 · 🧮 math.AP

Convergence Rates in Parabolic Homogenization with Time-Dependent Periodic Coefficients

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keywords coefficientsconvergenceparabolicperiodicratestime-dependentboundedfamily
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For a family of second-order parabolic systems with bounded measurable, rapidly oscillating and time-dependent periodic coefficients, we investigate the sharp convergence rates of weak solutions in $L^2$. Both initial-Dirichlet and initial-Neumann problems are studied.

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