{
  "id": "2204.03626",
  "version": "v1",
  "published": "2022-04-07T17:44:34.000Z",
  "updated": "2022-04-07T17:44:34.000Z",
  "title": "Global existence and pointwise decay for the null condition",
  "authors": [
    "Shi-Zhuo Looi",
    "Mihai Tohaneanu"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We study the nonlinear wave equation with the null condition and small initial data on nonstationary spacetimes. Under the assumption that the solution to the linear equation satisfies local energy bounds, we prove global existence of solutions, and obtain sharp pointwise bounds.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-04-07T17:44:34.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "null condition",
      "global existence",
      "pointwise decay",
      "linear equation satisfies local energy",
      "equation satisfies local energy bounds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}