{
  "id": "math/0611425",
  "version": "v1",
  "published": "2006-11-14T14:43:44.000Z",
  "updated": "2006-11-14T14:43:44.000Z",
  "title": "Global existence and uniqueness for the Lake equations with vanishing topography : elliptic estimates for degenerate equations",
  "authors": [
    "Bresch Didier",
    "Guy Metivier"
  ],
  "journal": "Nonlinearity 19 (2006) 591-610",
  "doi": "10.1088/0951-7715/19/3/004",
  "categories": [
    "math.AP"
  ],
  "abstract": "This paper deals with global existence and uniqueness for the lake equations with a bottom topography vanishing on the shore. Our result generalizes previous studies that assumed the depth to be nondegenerate. Elliptic estimates for degenerate equations has to be established studying the behavior of the associated Green function.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-11-14T14:43:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q30",
      "35B40",
      "76D05"
    ],
    "keywords": [
      "lake equations",
      "global existence",
      "elliptic estimates",
      "degenerate equations",
      "vanishing topography"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}