On the Homogenization of the Hamilton-Jacobi Equation
Analysis of PDEs
2019-04-03 v1 Dynamical Systems
Abstract
In this article we describe how the celebrated result by Lions, Papanicolau and Varadhan on the Homogenization of Hamilton-Jacobi equation can be extended beyond the Euclidean setting. More specifically, we show how to obtain a homogenization result in the case of Hamiltonians that are invariant under the action of a discrete (virtually) nilpotent group (i.e., with polynomial growth), following ideas of M. Gromov [18] and P. Pansu [28].
Keywords
Cite
@article{arxiv.1904.01359,
title = {On the Homogenization of the Hamilton-Jacobi Equation},
author = {Alfonso Sorrentino},
journal= {arXiv preprint arXiv:1904.01359},
year = {2019}
}
Comments
43 pages (This article is a revised version of some unpublished notes by the author from 2015)