On the Homogenization of the Hamilton-Jacobi Equation

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].

43 pages (This article is a revised version of some unpublished notes by the author from 2015)

References in corpus (1)

• Weak KAM theorem on non compact manifolds

Cited by in corpus (1)

• Weak KAM theorem on non compact manifolds