Yuxi Han

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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2 papers

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 $H (x, β) := ∣ β ∣^{p} - f (x)$ with $p \in…