{
  "id": "2105.13234",
  "version": "v1",
  "published": "2021-05-27T15:26:20.000Z",
  "updated": "2021-05-27T15:26:20.000Z",
  "title": "Homogenization of Boundary Value Problems in Perforated Lipschitz Domains",
  "authors": [
    "Zhongwei Shen"
  ],
  "comment": "44 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "This paper is concerned with boundary regularity estimates in the homogenization of elliptic equations with rapidly oscillating and high-contrast coefficients. We establish uniform nontangential-maximal-function estimates for the Dirichlet, regularity, and Neumann problems with $L^2$ boundary data in a periodically perforated Lipschitz domain.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-05-27T15:26:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35B27",
      "35J25"
    ],
    "keywords": [
      "boundary value problems",
      "homogenization",
      "boundary regularity estimates",
      "establish uniform nontangential-maximal-function estimates",
      "high-contrast coefficients"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 44,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}