Stochastic homogenization of a nonconvex Hamilton-Jacobi equation

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.

18 pages

References in corpus (1)

• A Sublinear Variance Bound for Solutions of a Random Hamilton Jacobi Equation

Cited by in corpus (5)

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• Deterministic walk in an excited random environment