Kai-Zhao Qin

Convergence rates in the periodic homogenization of vanishing-viscous Hamilton-Jacobi equations

We study convergence rates when periodic homogenization and vanishing viscosity occur at the same scale in Hamilton--Jacobi equations whose momentum Hessians are positive definite at every point. For bounded Lipschitz initial data and a class of smooth Hamiltonians, we establish an optimal rate $O(\varepsilon|\log\vare...