March 12, 2024Open Access

Optimal convergence rate for homogenization of convex Hamilton–Jacobi equations in the periodic spatial-temporal environment

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Abstract

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 ).

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Hoang Nguyen-Tien (Tue,) studied this question.

synapsesocial.com/papers/68e745afb6db6435876bee1b https://doi.org/https://doi.org/10.3233/asy-241898

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