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

Fuente: arXiv
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Autores principales: Mitake, Hiroyoshi, Ni, Panrui
Formato: Preprint
Publicado: 2024
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author Mitake, Hiroyoshi
Ni, Panrui
author_facet Mitake, Hiroyoshi
Ni, Panrui
contents 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 $O(\sqrt{\varepsilon})$ which is sharp.
format Preprint
id arxiv_https___arxiv_org_abs_2412_06428
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Rate of convergence for homogenization of nonlinear weakly coupled Hamilton-Jacobi systems
Mitake, Hiroyoshi
Ni, Panrui
Analysis of PDEs
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 $O(\sqrt{\varepsilon})$ which is sharp.
title Rate of convergence for homogenization of nonlinear weakly coupled Hamilton-Jacobi systems
topic Analysis of PDEs
url https://arxiv.org/abs/2412.06428