We present a proof of qualitative stochastic homogenization for a nonconvex Hamilton–Jacobi equations. 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.
|Original language||English (US)|
|Number of pages||18|
|Journal||Calculus of Variations and Partial Differential Equations|
|State||Published - Feb 17 2015|
ASJC Scopus subject areas
- Applied Mathematics