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Quantitative homogenization of elliptic equations with infinitely many scales
Zhongwei Shen, Yao Xu, Jinping Zhuge
In this paper, we develop a general homogenization theory for elliptic equations with coefficients that oscillate periodically at infinitely many scales $\varepsilon = (\varepsilon…
Optimal convergence rates in multiscale elliptic homogenization
Weisheng Niu, Yao Xu, Jinping Zhuge
This paper is devoted to the quantitative homogenization of multiscale elliptic operator , where $A_\varepsilon(x) = A(x/\varepsilon_1, x/\vareps…
Quantitative Estimates in Reiterated Homogenization
Weisheng Niu, Zhongwei Shen, Yao Xu
This paper investigates quantitative estimates in the homogenization of second-order elliptic systems with periodic coefficients that oscillate on multiple separated scales. We est…
Uniform Boundary Estimates in Homogenization of Higher Order Elliptic Systems
Weisheng Niu, Yao Xu
This paper focuses on the uniform boundary estimates in homogenization of a family of higher order elliptic operators , with rapidly oscillating periodic coefficient…
Convergence Rates and Interior Estimates in Homogenization of Higher Order Elliptic Systems
Weisheng Niu, Zhongwei Shen, Yao Xu
This paper is concerned with the quantitative homogenization of -order elliptic systems with bounded measurable, rapidly oscillating periodic coefficients. We establish the sha…