9 papers
Stability of Dirichlet problem under small bi-Lipschitz transformations of domains
Joseph Feneuil, Linhan Li, Jinping Zhuge
We show that small bi-Lipschitz deformations of a Lipschitz domain (with possibly large Lipschitz constant) preserve the solvability of the Dirichlet problem for the Laplacian with…
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…
Large-scale harmonic measures and nontangential maximal functions in periodic homogenization
Zhongwei Shen, Jinping Zhuge
In this paper, we consider the elliptic operators with periodic coefficients in a bounded domain without an…
Uniform Calderón-Zygmund estimates in multiscale elliptic homogenization
Weisheng Niu, Jinping Zhuge
This paper is concerned with the elliptic equation in a bounded domain, where takes a form o…
Quantitative unique continuation for Neumann problem in planar domains
Yingying Cai, Jiuyi Zhu, Jinping Zhuge
In this paper, we study the quantitative unique continuation property of the second-order elliptic operators under the vanishing Neumann boundary condition over or conve…
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…