On the Rate of Convergence in Periodic Homogenization of Scalar First-Order Ordinary Differential Equations
On the Rate of Convergence in Periodic Homogenization of Scalar First-Order Ordinary Differential Equations
复制标题
标量一阶常微分方程周期齐次的收敛率
DOI：
10.1137/080738830
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发表时间：
2009
期刊：
影响因子：
--
通讯作者：
R. Monneau
中科院分区：
文献类型：
--
作者：
H. Ibrahim;R. Monneau
本文研究标量常微分方程周期齐化的收敛速度。给出了一类具有快速振荡系数的一阶常微分方程解与极限齐化解之间的一个定量误差估计。作为我们结果的一个应用，我们得到了一些特殊的线性迁移方程的解的误差估计。
In this paper, we study the rate of convergence in periodic homogenization of scalar ordinary differential equations. We provide a quantitative error estimate between the solutions of a first-order ordinary differential equation with rapidly oscillating coefficients and the limiting homogenized solution. As an application of our result, we obtain an error estimate for the solution of some particular linear transport equations.