On periodic solutions of a Hamilton-Jacobi equation with periodic forcing
Abstract
Description
We prove that a Hamilton-Jacobi equation in 1D with periodic forcing has a set of generalized solutions such that each solution is a sum of linear and continuous periodic functions; we also give a condition of uniqueness of this solution in terms of Aubry-Mather theory.
12 pages, no figures; several typos corrected and the reference included
12 pages, no figures; several typos corrected and the reference included