16 citations · 27 across the 2 of their papers we have counts for
2 papers
math.AP2014★ 16 cited
Higher Order Convergence Rates in Theory of Homogenization I: Equations of Non-divergence Form
Sunghan Kim, Ki-Ahm Lee
We establish higher order convergence rates in the theory of periodic homogenization of both linear and fully nonlinear uniformly elliptic equations of non-divergence form. The rat…
math.AP2012★ 11 cited
Homogenization of the boundary value for the Dirichlet Problem
Sunghan Kim, Ki-ahm Lee, Henrik Shahgholian
In this paper, we give a mathematically rigorous proof of the averaging behavior of oscillatory surface integrals. Based on ergodic theory, we find a sharp geometric condition whic…