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arXiv · 2212.14782

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

Hoang Nguyen-Tien
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Abstract

We study the optimal convergence rate for 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 [8], which means the optimal convergence rate is also $O(\varepsilon)$.

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Hoang Nguyen-Tien. 2022-12-30. Optimal convergence rate for homogenization of convex Hamilton-Jacobi equations in the periodic spatial-temporal environment. https://arxiv.org/abs/2212.14782

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