{
  "id": "2010.07771",
  "version": "v1",
  "published": "2020-10-15T14:07:25.000Z",
  "updated": "2020-10-15T14:07:25.000Z",
  "title": "Spacetime integral bounds for the energy-critical nonlinear wave equation",
  "authors": [
    "Benjamin Dodson"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we prove a global spacetime bound for the quintic, nonlinear wave equation in three dimensions. This bound depends on the $L_{t}^{\\infty} L_{x}^{2}$ and $L_{t}^{\\infty} \\dot{H}^{2}$ norms of the solution to the quintic problem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-10-15T14:07:25.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "energy-critical nonlinear wave equation",
      "spacetime integral bounds",
      "global spacetime bound",
      "quintic problem",
      "dimensions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}