@article{7791c9ff75074ca09cedf4402f4e54c3,
title = "Stochastic homogenization of nonconvex Hamilton-Jacobi equations in one space dimension",
abstract = "We prove stochastic homogenization for a general class of coercive, nonconvex Hamilton-Jacobi equations in one space dimension. Some properties of the effective Hamiltonian arising in the nonconvex case are also discussed.",
keywords = "Dynamical properties of effective Hamiltonians, Metric problem, Nonconvex Hamilton-Jacobi equation, Stochastic homogenization",
author = "Armstrong, {Scott N.} and Tran, {Hung V.} and Yifeng Yu",
note = "Funding Information: We thank Yu-yu Liu for his tremendous help in drawing the pictures in this paper. The second author is supported in part by NSF grant DMS-1361236 and DMS-1615944 . The third author is supported in part by NSF CAREER award # 1151919 . We are also very grateful to the referee who has carefully read our paper and provided a lot of valuable suggestions to improve the presentation of this paper. Publisher Copyright: {\textcopyright} 2016 Elsevier Inc. Copyright: Copyright 2016 Elsevier B.V., All rights reserved.",
year = "2016",
month = sep,
day = "5",
doi = "10.1016/j.jde.2016.05.010",
language = "English (US)",
volume = "261",
pages = "2702--2737",
journal = "Journal of Differential Equations",
issn = "0022-0396",
publisher = "Academic Press Inc.",
number = "5",
}