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20222025
most citedQuantitative homogenization of state-constraint Hamilton--Jacobi equations on perforated domains and applications

1 citations · 1 across the 2 of their papers we have counts for

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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★ 1 cited

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…

math.AP2022

Global semiconcavity of solutions to first-order Hamilton-Jacobi equations with state constraints

Yuxi Han

We focus on the global semiconcavity of solutions to first-order Hamilton--Jacobi equations with state constraints, especially for the Hamiltonian with $p \in…