{
  "id": "0711.0275",
  "version": "v1",
  "published": "2007-11-02T10:01:50.000Z",
  "updated": "2007-11-02T10:01:50.000Z",
  "title": "Global existence for energy critical waves in 3-d domains : Neumann boundary conditions",
  "authors": [
    "N. Burq",
    "F. Planchon"
  ],
  "comment": "21 pages, 1 figure",
  "categories": [
    "math.AP"
  ],
  "abstract": "We prove that the defocusing quintic wave equation, with Neumann boundary conditions, is globally wellposed on $H^1_N(\\Omega) \\times L^2(\\Omega)$ for any smooth (compact) domain $\\Omega \\subset \\mathbb{R}^3$. The proof relies on one hand on $L^p$ estimates for the spectral projector by Smith and Sogge, and on the other hand on a precise analysis of the boundary value problem, which turns out to be much more delicate than in the case of Dirichlet boundary conditions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-11-02T10:01:50.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "neumann boundary conditions",
      "energy critical waves",
      "global existence",
      "dirichlet boundary conditions",
      "boundary value problem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0711.0275B"
    }
  }
}