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math.AP2022★ 1 cited
The regularity with respect to domains of the additive eigenvalues of superquadratic Hamilton--Jacobi equation
Farid Bozorgnia, Dohyun Kwon, Son N. T. Tu
We study the additive eigenvalues on changing domains, along with the associated vanishing discount problems. We consider the convergence of the vanishing discount problem on chang…
math.AP2020★ 10 cited
Vanishing discount problem and the additive eigenvalues on changing domains
Son N. T. Tu
We study the asymptotic behavior, as , of the state-constraint Hamilton--Jacobi equation in and the corresponding add…
math.AP2018★ 8 cited
Rate of convergence for periodic homogenization of convex Hamilton-Jacobi equations in one dimension
Son N. T. Tu
Let and be viscosity solutions of the oscillatory Hamilton-Jacobi equation and its corresponding effective equation. Given bounded, Lipschitz initial data, we p…