Stochastic homogenization of a nonconvex Hamilton–Jacobi equation
By S. Armstrong, Hung Vinh Tran, Yifeng Yu. 2013
56 citations recorded by the source corpus.
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.
Subfields: Applied Mathematics, Computational Theory and Mathematics
View Paper: https://www.semanticscholar.org/paper/24e0368cafe891bdf1f085ed733601496dfee3c1
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In Applied Mathematics
In Computational Theory and Mathematics
Citations in the corpus
- Stochastic Homogenization of Nonconvex Hamilton‐Jacobi Equations: A Counterexample (2015, background): “mentioned in the literature (see, for instance, [2, 7, 8, 14, 18, 19]).”