Abstract
We consider the convergence rate in periodic homogenization of higher order parabolic systems with time-dependent coefficients. The sharp $ O(\varepsilon) $-order scaling invariant convergence rate in the space $L^{2}(0,T;W^{m-1,p_{0}}(\Omega))$, $p_{0}=\frac{2d}{d-1}$, is derived by the duality argument. This largely improves the corresponding result by Niu and Xu in Discrete Contin. Dynam. Systems. Series A 38(8): 4203--4229 (2018).
Citation
Qing Meng. Weisheng Niu. "Convergence rate in periodic homogenization of higher-order parabolic systems revisited." Differential Integral Equations 35 (9/10) 531 - 557, September/October 2022. https://doi.org/10.57262/die035-0910-531
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