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math.AP2026
Quantitative homogenization of convex Hamilton-Jacobi equations in the Wasserstein space
Zhiyan Ding, Ibrahim Ekren, Yuxi Han +1
We study a homogenization problem for first-order Hamilton-Jacobi equations in the Wasserstein space with a convex Hamiltonian. We show that the solution , which is…
math.AP2025
Quantitative homogenization of Hamilton--Jacobi equations on perforated domains with Dirichlet boundary conditions
Yuxi Han, Son Tu
We study the periodic homogenization of convex Hamilton-Jacobi equations on perforated domains with Dirichlet boundary conditions. By analyzing the optimal control representation o…
math.AP2024
Quantitative homogenization of state-constraint Hamilton--Jacobi equations on perforated domains and applications
Yuxi Han, Wenjia Jing, Hiroyoshi Mitake +1
We study the periodic homogenization problem of state-constraint Hamilton--Jacobi equations on perforated domains in the convex setting and obtain the optimal convergence rate. We…