Abstract
In this paper, we study reiterated homogenization problems for equations −div(A(x/e, x/e2)∇ue) = f (x). We introduce auxiliary functions and obtain the representation formula satisfied by ue and homogenized solution u0. Then we utilize this formula in combination with the asymptotic estimates of Neumann functions for operators and uniform regularity estimates of solutions to obtain convergence rates in Lp for solutions as well as gradient error estimates for Neumann problems.
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