5 citations · 6 across the 7 of their papers we have counts for
7 papers
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 any…
The Magnetic Laplacian with a Higher-order Vanishing Magnetic Field in a Bounded Domain
Zhongwei Shen
This paper is concerned with spectrum properties of the magnetic Laplacian with a higher-order vanishing magnetic field in a bounded domain. We study the asymptotic behaviors of gr…
Convergence rates of eigenvalue problems in perforated domains: the case of small volume
Zhongwei Shen, Jinping Zhuge
This paper is concerned with the Dirichlet eigenvalue problem for Laplace operator in a bounded domain with periodic perforation in the case of small volume. We obtain the optimal…
Dirichlet Problems in Perforated Domains
Robert Righi, Zhongwei Shen
In this paper we establish estimates for solutions to Laplace's equation with the Dirichlet condition in a bounded and perforated, not necessarily periodi…
Uniform regularity for degenerate elliptic equations in perforated domains
Zhongwei Shen, Jinping Zhuge
This paper is concerned with a class of degenerate elliptic equations with rapidly oscillating coefficients in periodically perforated domains, which arises in the study of spectru…
Boundary Layers in Periodic Homogenization of Neumann Problems
Zhongwei Shen, Jinping Zhuge
This paper is concerned with a family of second-order elliptic systems in divergence form with rapidly oscillating periodic coefficients. We initiate the study of homogenization an…