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arXiv · 2608.18032

Optimal convergence rates in periodic homogenization of nonconvex Hamilton--Jacobi equations

Jiwoong Jang·Qi Sun·Hung V. Tran·Yifeng Yu
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Abstract

We study the convergence rates in periodic homogenization of general nonconvex, coercive Hamilton--Jacobi equations. We show that the optimal convergence rate is $O(\varepsilon^{1/2})$ in one dimension, $O(\varepsilon^{1/3})$ in two dimensions (up to a logarithmic factor), and $O(\varepsilon^{1/3})$ in dimension three or higher.

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Jiwoong Jang, Qi Sun, Hung V. Tran, Yifeng Yu. 2026-08-18. Optimal convergence rates in periodic homogenization of nonconvex Hamilton--Jacobi equations. https://arxiv.org/abs/2608.18032

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