Convergence rates in homogenization of higher order parabolic systems

Abstract

This paper is concerned with the optimal convergence rate in homogenization of higher order parabolic systems with bounded measurable, rapidly oscillating periodic coefficients. The sharp O() convergence rate in the space L2(0,T; Hm-1()) is obtained for both the initial-Dirichlet problem and the initial-Neumann problem. The duality argument inspired by suslinaD2013 is used here.

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