English

Slow periodic homogenization for Hamilton-Jacobi equations

Analysis of PDEs 2023-02-06 v1 Optimization and Control

Abstract

Capuzzo-Dolcetta and Ishii proved that the rate of periodic homogenization for coercive Hamilton-Jacobi equations is O(ε1/3)O(\varepsilon^{1/3}). We complement this result by constructing examples of coercive nonconvex Hamiltonians whose rate of periodic homogenization is Ω(ε1/2)\Omega(\varepsilon^{1/2}).

Keywords

Cite

@article{arxiv.2302.01879,
  title  = {Slow periodic homogenization for Hamilton-Jacobi equations},
  author = {William Cooperman},
  journal= {arXiv preprint arXiv:2302.01879},
  year   = {2023}
}
R2 v1 2026-06-28T08:31:34.042Z