{
  "id": "0910.4720",
  "version": "v1",
  "published": "2009-10-25T10:52:19.000Z",
  "updated": "2009-10-25T10:52:19.000Z",
  "title": "Ergodic problems and periodic homogenization for fully nonlinear equations in half-space type domains with Neumann boundary conditions",
  "authors": [
    "Guy Barles",
    "Francesca Da Lio",
    "Pierre-Louis Lions",
    "Panagiotis E. Souganidis"
  ],
  "journal": "Indiana University Mathematics Journal 57, 5 (2008) 2355--2376",
  "categories": [
    "math.AP"
  ],
  "abstract": "We study periodic homogenization problems for second-order pde in half-space type domains with Neumann boundary conditions. In particular, we are interested in \"singular problems\" for which it is necessary to determine both the homogenized equation and boundary conditions. We provide new results for fully nonlinear equations and boundary conditions. Our results extend previous work of Tanaka in the linear, periodic setting in half-spaces parallel to the axes of the periodicity, and of Arisawa in a rather restrictive nonlinear periodic framework. The key step in our analysis is the study of associated ergodic problems in domains with similar structure.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-10-25T10:52:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35B27",
      "35J60",
      "35K55"
    ],
    "keywords": [
      "neumann boundary conditions",
      "half-space type domains",
      "fully nonlinear equations",
      "ergodic problems",
      "study periodic homogenization problems"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0910.4720B"
    }
  }
}