Stochastic homogenization of level-set convex Hamilton-Jacobi equations

2012/03/28 by Armstrong, Scott N., Souganidis, Panagiotis E. · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1203.6303

Abstract

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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