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

Cardaliaguet, Pierre; Souganidis, Panagiotis E. (2015), Periodic approximations of the ergodic constants in the stochastic homogenization of nonlinear second-order (degenerate) equations, Annales de l'Institut Henri Poincaré (C) Analyse non linéaire, 32, 3, p. 571-591. http://dx.doi.org/10.1016/j.anihpc.2014.01.007

Type
Article accepté pour publication ou publié
External document link
https://arxiv.org/abs/1308.3313v1
Date
2015
Journal name
Annales de l'Institut Henri Poincaré (C) Analyse non linéaire
Volume
32
Number
3
Publisher
Elsevier
Pages
571-591
Publication identifier
http://dx.doi.org/10.1016/j.anihpc.2014.01.007
Metadata
Show full item record
Author(s)
Cardaliaguet, Pierre

Souganidis, Panagiotis E.
Abstract (EN)
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.
Subjects / Keywords
Hamilton–Jacobi equation; nonlinear system; stochastic homogenization

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