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

被引：2

作者：

Cardaliaguet, Pierre ^{[1
]}

Souganidis, Panagiotis E. ^{[2
]}

机构：

[1] Univ Paris 09, CEREMADE, Pl Marechal de Lattre de Tassigny, F-75775 Paris 16, France

[2] Univ Chicago, Dept Math, Chicago, IL 60637 USA

来源：

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 2015年 / 32卷 / 03期

基金：

美国国家科学基金会;

关键词：

HAMILTON-JACOBI EQUATIONS; PARTIAL-DIFFERENTIAL-EQUATIONS; BELLMAN EQUATIONS; CONVERGENCE; MEDIA; RATES;

D O I：

10.1016/j.anihpc.2014.01.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 2014 Elsevier Masson SAS. All rights reserved.

引用

页码：571 / 591

页数：21

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