Convergence rates in homogenization of higher-order parabolic systems

Weisheng Niu, Yao Xu
2018 Discrete and Continuous Dynamical Systems. Series A  
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(ε) convergence rate in the space L 2 (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.
doi:10.3934/dcds.2018183 fatcat:x6t47vrucjfs7lg4zlxryi4qza