Stochastic homogenization of a nonconvex Hamilton-Jacobi equation
Analysis of PDEs
2013-11-11 v1
Abstract
We present a proof of qualitative stochastic homogenization for a nonconvex Hamilton-Jacobi equation. The new idea is to introduce a family of "sub-equations" and to control solutions of the original equation by the maximal subsolutions of the latter, which have deterministic limits by the subadditive ergodic theorem and maximality.
Keywords
Cite
@article{arxiv.1311.2029,
title = {Stochastic homogenization of a nonconvex Hamilton-Jacobi equation},
author = {Scott N. Armstrong and Hung V. Tran and Yifeng Yu},
journal= {arXiv preprint arXiv:1311.2029},
year = {2013}
}
Comments
18 pages