Strong Convergence to the homogenized limit of elliptic equations with random coefficients II
| Autor: | Conlon, Joseph G., Fahim, Arash |
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| Rok vydání: | 2012 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1112/blms/bdt025 |
| Popis: | Consider a discrete uniformly elliptic divergence form equation on the $d$ dimensional lattice $\Z^d$ with random coefficients. In [3] rate of convergence results in homogenization and estimates on the difference between the averaged Green's function and the homogenized Green's function for random environments which satisfy a Poincar\'{e} inequality were obtained. Here these results are extended to certain environments with long range correlations. These environments are simply related via a convolution to environments which do satisfy a Poincar\'{e} inequality. Comment: 9 pages |
| Databáze: | arXiv |
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