CONVERGENCE RATES IN HOMOGENIZATION OF HIGHER-ORDER PARABOLIC SYSTEMS.

This paper is concerned with the optimal convergence rate in ho- mogenization of higher order parabolic systems with bounded measurable, rapidly oscillating periodic coefficients. The sharp O(ε) convergence rate in the space L²(0, T;H^m-1(Ω) is obtained for both the initial-Dirichlet problem and the initial-Neumann problem. The duality argument inspired by [25] is used here. [ABSTRACT FROM AUTHOR]