{
  "id": "1909.09513",
  "version": "v1",
  "published": "2019-09-20T14:01:54.000Z",
  "updated": "2019-09-20T14:01:54.000Z",
  "title": "Quantitative Estimates in Reiterated Homogenization",
  "authors": [
    "Weisheng Niu",
    "Zhongwei Shen",
    "Yao Xu"
  ],
  "comment": "34 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "This paper investigates quantitative estimates in the homogenization of second-order elliptic systems with periodic coefficients that oscillate on multiple separated scales. We establish large-scale interior and boundary Lipschitz estimates down to the finest microscopic scale via iteration and rescaling arguments. We also obtain a convergence rate in the $L^2$ space by the reiterated homogenization method.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-09-20T14:01:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35B27",
      "74Q05"
    ],
    "keywords": [
      "quantitative estimates",
      "second-order elliptic systems",
      "finest microscopic scale",
      "boundary lipschitz estimates",
      "convergence rate"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}