Stochastic homogenization of a nonconvex Hamilton–Jacobi equation

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

doi:10.1007/s00526-015-0833-2

Stochastic homogenization of a nonconvex Hamilton–Jacobi equation

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

Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	1507-1524
Number of pages	18
Journal	Calculus of Variations and Partial Differential Equations
Volume	54
Issue number	2
DOIs	https://doi.org/10.1007/s00526-015-0833-2
State	Published - Oct 22 2015

Keywords

35B27

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1007/s00526-015-0833-2

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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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AB - 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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Stochastic homogenization of a nonconvex Hamilton–Jacobi equation

Abstract

Keywords

ASJC Scopus subject areas

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