Stochastic Homogenization of Level-Set Convex Hamilton–Jacobi Equations
Scott N. Armstrong, Panagiotis E. Souganidis · International Mathematics Research Notices · 2012
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.