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

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Date
2016
Publisher city
Paris
Link to item file
https://arxiv.org/abs/1410.7053v1
Dewey
Probabilités et mathématiques appliquées
Sujet
nonconvex Hamilton-Jacobi equation; stochastic homogenization; metric problem
Journal issue
Journal of Differential Equations
Volume
261
Number
5
Publication date
2016
Article pages
2702-2737
Publisher
Academic Press
DOI
http://dx.doi.org/10.1016/j.jde.2016.05.010
URI
https://basepub.dauphine.fr/handle/123456789/14388
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Author
Armstrong, Scott N.
Tran, Hung V.
Yu, Yifeng
Type
Article accepté pour publication ou publié
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.