{
  "id": "1207.6077",
  "version": "v1",
  "published": "2012-07-25T18:18:41.000Z",
  "updated": "2012-07-25T18:18:41.000Z",
  "title": "Strong Convergence to the homogenized limit of elliptic equations with random coefficients II",
  "authors": [
    "Joseph G. Conlon",
    "Arash Fahim"
  ],
  "comment": "9 pages",
  "doi": "10.1112/blms/bdt025",
  "categories": [
    "math.AP"
  ],
  "abstract": "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-07-25T18:18:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81T08",
      "82B20",
      "35R60",
      "60J75"
    ],
    "keywords": [
      "random coefficients",
      "strong convergence",
      "elliptic equations",
      "homogenized limit",
      "greens function"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1207.6077C"
    }
  }
}