Elliptic homogenization from qualitative to quantitative
Elliptic homogenization from qualitative to quantitative
复制标题
椭圆均质化从定性到定量
DOI：
--
复制
发表时间：
2022
期刊：
影响因子：
--
通讯作者：
Tuomo Kuusi
中科院分区：
文献类型：
--
作者：
S. Armstrong;Tuomo Kuusi
从经典的定性均匀化出发，对随机系数场的椭圆均匀化理论进行了完备的介绍。我们对数量理论的阐述与以前的相比被大大压缩了，而且可读性更强。我们的演示文稿还包含新的结果，如最佳估计（无论是在随机矩和缩放的错误）的系数字段是局部函数的高斯随机场。
We give a self-contained introduction of the theory of elliptic homogenization for random coefficient fields, starting from classical qualitative homogenization. Our exposition of the quantitative theory is greatly compressed and much more readable compared to what has appeared previously. Our presentation also contains new results, such as optimal estimates (both in terms of stochastic moments and scaling of the error) for coefficient fields which are local functions of Gaussian random fields.