Rates of convergence in periodic homogenization of fully nonlinear uniformly elliptic PDEs

被引：24

作者：

Camilli, Fabio ^{[1
]}

Marchi, Claudio ^{[2
]}

机构：

[1] Univ Aquila, Dipartimento Matemat Pura & Applicata, I-67040 Laquila, Italy

[2] Univ Padua, Dipartimento Matemat P & A, I-35121 Padua, Italy

来源：

NONLINEARITY | 2009年 / 22卷 / 06期

关键词：

HAMILTON-JACOBI EQUATIONS; SINGULAR PERTURBATIONS; VISCOSITY SOLUTIONS;

D O I：

10.1088/0951-7715/22/6/011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider periodic homogenization of the fully nonlinear uniformly elliptic equation u(epsilon) + H(x, x/epsilon, Du(epsilon), D(2)u(epsilon)) = 0. We give an estimate of the rate of convergence of ue to the solution u of the homogenized problem u + (H) over bar (x, Du, D(2)u) = 0. Moreover we describe a numerical scheme for the approximation of the effective nonlinearity (H) over bar and we estimate the corresponding rate of convergence.

引用

页码：1481 / 1498

页数：18

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