{
  "id": "1606.04629",
  "version": "v1",
  "published": "2016-06-15T03:21:58.000Z",
  "updated": "2016-06-15T03:21:58.000Z",
  "title": "Uniform boundary regularity in almost-periodic homogenization",
  "authors": [
    "Jinping Zhuge"
  ],
  "comment": "29 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "In the present paper, we generalize the theory of quantitative homogenization for second-order elliptic systems with rapidly oscillating coefficients in $APW^2(\\mathbb{R}^d)$, which is the space of almost-periodic functions in the sense of H. Weyl. We obtain the large scale uniform boundary Lipschitz estimate, for both Dirichlet and Neumann problems in $C^{1,\\alpha}$ domains. We also obtain large scale uniform boundary H\\\"{o}lder estimates in $C^{1,\\alpha}$ domains and $L^2$ Rellich estimates in Lipschitz domains.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-06-15T03:21:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35B27",
      "35J57",
      "35B65"
    ],
    "keywords": [
      "uniform boundary regularity",
      "almost-periodic homogenization",
      "scale uniform boundary lipschitz estimate",
      "large scale uniform boundary lipschitz"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}