非线性弱耦合Hamilton-Jacobi系统均匀化的收敛速度

IF 2.3 2区数学 Q1 MATHEMATICS

Journal of Differential Equations Pub Date : 2025-05-26 DOI:10.1016/j.jde.2025.113442

Hiroyoshi Mitake , Panrui Ni

引用次数: 0

摘要

本文研究了凸集下非线性弱耦合Hamilton-Jacobi方程系统的周期齐化问题。我们建立了一个收敛速度O(ε)，它的收敛速度非常快。

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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Rate of convergence for homogenization of nonlinear weakly coupled Hamilton-Jacobi systems

Here, we study the periodic homogenization problem of nonlinear weakly coupled systems of Hamilton-Jacobi equations in the convex setting. We establish a rate of convergence

O (\sqrt{ε})

which is sharp.

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来源期刊

Journal of Differential Equations 数学-数学

CiteScore

4.40

自引率

8.30%

发文量

543

审稿时长

9 months

期刊介绍： The Journal of Differential Equations is concerned with the theory and the application of differential equations. The articles published are addressed not only to mathematicians but also to those engineers, physicists, and other scientists for whom differential equations are valuable research tools. Research Areas Include: • Mathematical control theory • Ordinary differential equations • Partial differential equations • Stochastic differential equations • Topological dynamics • Related topics