Parabolic perturbations of Hamilton–Jacobi equations
Volume 157 / 1998
Fundamenta Mathematicae 157 (1998), 299-303
DOI: 10.4064/fm-157-2-3-299-303
Abstract
We consider a parabolic perturbation of the Hamilton-Jacobi equation where the potential is periodic in space and time. We show that any solution converges to a limit not depending on initial conditions.