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arXiv · 1801.02297

Convergence rates in homogenization of higher order parabolic systems

Weisheng Niu·Yao Xu
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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 $O(\va)$ convergence rate in the space $L^2(0,T; H^{m-1}(\Om))$ is obtained for both the initial-Dirichlet problem and the initial-Neumann problem. The duality argument inspired by \cite{suslinaD2013} is used here.

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Weisheng Niu, Yao Xu. 2018-01-08. Convergence rates in homogenization of higher order parabolic systems. https://arxiv.org/abs/1801.02297

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