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arXiv · 1308.3313

Periodic approximations of the ergodic constants in the stochastic homogenization of nonlinear second-order (degenerate) equations

Pierre Cardaliaguet·Panagiotis E. Souganidis
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Abstract

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.

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Pierre Cardaliaguet, Panagiotis E. Souganidis. 2013-08-15. Periodic approximations of the ergodic constants in the stochastic homogenization of nonlinear second-order (degenerate) equations. https://arxiv.org/abs/1308.3313

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