On periodic solutions of a Hamilton-Jacobi equation with periodic forcing
chao-dyn
2007-05-23 v2 Dynamical Systems
Chaotic Dynamics
Abstract
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.
Keywords
Cite
@article{arxiv.chao-dyn/9906035,
title = {On periodic solutions of a Hamilton-Jacobi equation with periodic forcing},
author = {Andrei Sobolevskii},
journal= {arXiv preprint arXiv:chao-dyn/9906035},
year = {2007}
}
Comments
12 pages, no figures; several typos corrected and the reference included