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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…