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Stochastic homogenization of nonconvex Hamilton-Jacobi equations in one space dimension

Armstrong, Scott N.; Tran, Hung V.; Yu, Yifeng (2016), Stochastic homogenization of nonconvex Hamilton-Jacobi equations in one space dimension, Journal of Differential Equations, 261, 5, p. 2702-2737. 10.1016/j.jde.2016.05.010

Type
Article accepté pour publication ou publié
External document link
https://arxiv.org/abs/1410.7053v1
Date
2016
Journal name
Journal of Differential Equations
Volume
261
Number
5
Publisher
Academic Press
Published in
Paris
Pages
2702-2737
Publication identifier
Metadata
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Author(s)
Armstrong, Scott N.

Tran, Hung V.

Yu, Yifeng
Abstract (EN)
We prove stochastic homogenization for a general class of coercive,nonconvex Hamilton-Jacobi equations in one space dimension. Some propertiesof the effective Hamiltonian arising in the nonconvex case are also discussed.
Subjects / Keywords
nonconvex Hamilton-Jacobi equation; stochastic homogenization; metric problem