Son N. T. Tu

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math.AP2025

Remarks on the vanishing viscosity process of state-constraint Hamilton-Jacobi equations

Yuxi Han, Son N. T. Tu

We investigate the convergence rate in the vanishing viscosity process of the solutions to the subquadratic state-constraint Hamilton-Jacobi equations. We give two different proofs…

math.AP2024

Generalized convergence of solutions for nonlinear Hamilton-Jacobi equations with state-constraint

Son Tu, Jianlu Zhang

For a continuous Hamiltonian $H : (x, p, u) \in T^{*} R^{n} \times R \to R$ , we consider the asymptotic behavior of associated Hamilton--Jacobi equatio…

math.AP2024

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…