Thumbnail - No thumbnail

Stochastic homogenization of a nonconvex Hamilton–Jacobi equation

Armstrong, Scott N.; Tran, Hung V.; Yu, Yifeng (2015), Stochastic homogenization of a nonconvex Hamilton–Jacobi equation, Calculus of Variations and Partial Differential Equations. http://dx.doi.org/10.1007/s00526-015-0833-2

Type
Article accepté pour publication ou publié
External document link
https://arxiv.org/abs/1311.2029v1
Date
2015
Journal name
Calculus of Variations and Partial Differential Equations
Publisher
Springer
Publication identifier
Metadata
Show full item record
Author(s)
Armstrong, Scott N.
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Tran, Hung V.
Department of Mathematics [Chicago]
Yu, Yifeng
Department of Mathematics [Univ California Davis] [MATH - UC Davis]
Abstract (EN)
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.
Subjects / Keywords
Hamilton-Jacobi equations