For convex, periodic, particle-symmetric Hamilton-Jacobi equations in infinite dimensions with mean-only initial data, the homogenization error is O(epsilon), and this rate is optimal.
A near-optimal rate of periodic homogenization for convex Hamilton–Jacobi equations.Archive for Rational Mechanics and Analysis245, 809–817 (2022)
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Optimal Convergence Rate for Periodic Homogenization of Rearrangement-Invariant Convex Hamilton--Jacobi Equations in Infinite Dimensions
For convex, periodic, particle-symmetric Hamilton-Jacobi equations in infinite dimensions with mean-only initial data, the homogenization error is O(epsilon), and this rate is optimal.