Periodic approximations of the ergodic constants in the stochastic homogenization of nonlinear second-order (degenerate) equations
Pierre Cardaliaguet, Panagiotis E. Souganidis · Annales de l Institut Henri Poincaré C Analyse Non Linéaire · 2014
We prove that the effective nonlinearities (ergodic constants) obtained in the stochastic homogenization of Hamilton–Jacobi, “viscous” Hamilton–Jacobi and nonlinear uniformly elliptic pde are approximated by the analogous quantities of appropriate “periodizations” of the equations. We also obtain an error estimate, when there is a rate of convergence for the stochastic homogenization.