Stochastic homogenization of level-set convex Hamilton-Jacobi equations

Details Stochastic homogenization of level-set convex Hamilton-Jacobi equations Stochastic homogenization of level-set convex Hamilton-Jacobi equations

2012-03-28

arxiv.org/abs/1203.6303v1

Mathematics

Analysis of PDEs

20 pages

Scientific paper

We present a simple new proof for the stochastic homogenization of
quasiconvex (level-set convex) Hamilton-Jacobi equations set in stationary
ergodic environments. Our approach, which is new even in the convex case,
yields more information about the qualitative behavior of the effective
nonlinearity.

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