Optimal convergence rates in periodic homogenization of nonconvex Hamilton--Jacobi equations
Jiwoong Jang, Qi Sun, Hung V. Tran, Yifeng Yu
Abstract
We study the convergence rates in periodic homogenization of general nonconvex, coercive Hamilton--Jacobi equations. We show that the optimal convergence rate is O(1/2) in one dimension, O(1/3) in two dimensions (up to a logarithmic factor), and O(1/3) in dimension three or higher.
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