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arxiv: 1110.5206 · v1 · pith:MVEWA25Fnew · submitted 2011-10-24 · 🧮 math.AP

Rate of convergence of a two-scale expansion for some "weakly" stochastic homogenization problems

classification 🧮 math.AP
keywords coefficientsconvergenceexpansionhomogenizationratedifferentialellipticequation
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We establish a rate of convergence of the two scale expansion (in the sense of homogenization theory) of the solution to a highly oscillatory elliptic partial differential equation with random coefficients that are a perturbation of periodic coefficients.

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