Optimal convergence rate for homogenization of convex Hamilton–Jacobi equations in the periodic spatial-temporal environment
Hoang Nguyen-Tien · Asymptotic Analysis · 2024
We study the optimal convergence rate for the homogenization problem of convex Hamilton–Jacobi equations when the Hamitonian is periodic with respect to spatial and time variables, and notably time-dependent. We prove a result similar to that of (Tran and Yu (2021)), which means the optimal convergence rate is also O ( ε ).