Stochastic homogenization of a nonconvex Hamilton-Jacobi equation
Scott N. Armstrong, Hung V. Tran, Yifeng Yu · arXiv (Cornell University) · 2013
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.