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math.AP2013★ 1 cited
Quantitative stochastic homogenization of viscous Hamilton-Jacobi equations
Scott N. Armstrong, Pierre Cardaliaguet
We prove explicit estimates for the error in random homogenization of degenerate, second-order Hamilton-Jacobi equations, assuming the coefficients satisfy a finite range of depend…
math.AP2013
Periodic approximations of the ergodic constants in the stochastic homogenization of nonlinear second-order (degenerate) equations
Pierre Cardaliaguet, Panagiotis E. Souganidis
We prove that the effective nonlinearities (ergodic constants) obtained in the stochastic homogenization of Hamilton-Jacobi, "viscous" Hamilton-Jacobi and nonlinear uniformly ellip…