English

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

Analysis of PDEs 2025-05-20 v2

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)O(\sqrt{\varepsilon}) which is sharp.

Keywords

Cite

@article{arxiv.2412.06428,
  title  = {Rate of convergence for homogenization of nonlinear weakly coupled Hamilton-Jacobi systems},
  author = {Hiroyoshi Mitake and Panrui Ni},
  journal= {arXiv preprint arXiv:2412.06428},
  year   = {2025}
}

Comments

21 pages