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arXiv · 1311.2029

Stochastic homogenization of a nonconvex Hamilton-Jacobi equation

Scott N. Armstrong·Hung V. Tran·Yifeng Yu
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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.

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Scott N. Armstrong, Hung V. Tran, Yifeng Yu. 2013-11-08. Stochastic homogenization of a nonconvex Hamilton-Jacobi equation. https://arxiv.org/abs/1311.2029

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