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20242026
most citedTime periodic solutions of first order mean field games from the perspective of Mather theory

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math.AP2026

Vanishing discount and viscosity selection problems for mechanical Hamilton--Jacobi equations

Hiroyoshi Mitake, Panrui Ni, Hung V. Tran

We study simultaneous vanishing discount and viscosity limits for mechanical Hamilton--Jacobi equations on the -dimensional torus. In the critical regime, we explicitly identify…

math.AP2026

Optimal semiconcavity with fractional modulus for Hamilton-Jacobi equations with Neumann boundary conditions

Hiroyoshi Mitake, Panrui Ni

We study the semiconcavity property of viscosity solutions to Hamilton--Jacobi equations with Neumann boundary conditions. Unlike the state-constraint case, minimizing trajectories…