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

IF 1.1 4区数学 Q2 MATHEMATICS, APPLIED

Asymptotic Analysis Pub Date : 2024-03-12 DOI:10.3233/asy-241898

Hoang Nguyen-Tien

引用次数: 0

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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周期性时空环境中凸汉密尔顿-雅可比方程均质化的最佳收敛速率

我们研究了当 Hamitonian 相对于空间变量和时间变量是周期性的，并且显著随时间变化时凸 Hamilton-Jacobi 方程均质化问题的最优收敛速率。我们证明了与（Tran 和 Yu (2021)）类似的结果，即最优收敛速率也是 O(ε)。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Asymptotic Analysis 数学-应用数学

CiteScore

1.90

自引率

7.10%

发文量

审稿时长

6 months

期刊介绍： The journal Asymptotic Analysis fulfills a twofold function. It aims at publishing original mathematical results in the asymptotic theory of problems affected by the presence of small or large parameters on the one hand, and at giving specific indications of their possible applications to different fields of natural sciences on the other hand. Asymptotic Analysis thus provides mathematicians with a concentrated source of newly acquired information which they may need in the analysis of asymptotic problems.