Abstract
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.
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The third author was partially supported by NSF CAREER Award #1151919.
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Communicated by F. H. Lin.
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Armstrong, S.N., Tran, H.V. & Yu, Y. Stochastic homogenization of a nonconvex Hamilton–Jacobi equation. Calc. Var. 54, 1507–1524 (2015). https://doi.org/10.1007/s00526-015-0833-2
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DOI: https://doi.org/10.1007/s00526-015-0833-2