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

2024/12/09 by Hiroyoshi Mitake, Mitake, Hiroyoshi, Panrui Ni +1 · 3 citations
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Control and Stability of Dynamical Systems #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2412.06428

openalex publication_date 2024/12/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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(√(ε)) which is sharp.

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