{
  "id": "1512.03271",
  "version": "v1",
  "published": "2015-12-10T14:49:23.000Z",
  "updated": "2015-12-10T14:49:23.000Z",
  "title": "Elliptic estimates for Dirichlet-Neumann operator on a corner domain",
  "authors": [
    "Mei Ming",
    "Chao Wang"
  ],
  "comment": "54 pages, 1 figures",
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider the elliptic estimates for Dirichlet-Neumann operator related to the water-wave problem on a two-dimensional corner domain in this paper. Due to the singularity of the boundary, there will be singular parts in the solution of the elliptic problem for D-N operator. To begin with, we study elliptic problems with mixed boundary condition to derive singularity decompositions and estimates. Based on the analysis, we present the estimates for both D-N operator and its shape derivative with the existence of singular parts.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-12-10T14:49:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q35"
    ],
    "keywords": [
      "elliptic estimates",
      "dirichlet-neumann operator",
      "singular parts",
      "d-n operator",
      "two-dimensional corner domain"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 54,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}