{
  "id": "1109.5662",
  "version": "v2",
  "published": "2011-09-26T18:24:46.000Z",
  "updated": "2012-06-15T14:06:48.000Z",
  "title": "Space-Time resonances and the null condition for (first order) systems of wave equations",
  "authors": [
    "Fabio Pusateri",
    "Jalal Shatah"
  ],
  "comment": "v2: Revised introduction and presentation. Extended bibliography",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this manuscript we prove global existence and linear asymptotic behavior of small solutions to nonlinear wave equations. We assume that the quadratic part of the nonlinearity satisfies a non-resonant condition which is a generalization of the null condition given by Klainerman.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-06-15T14:06:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35L05",
      "35B34"
    ],
    "keywords": [
      "null condition",
      "first order",
      "space-time resonances",
      "linear asymptotic behavior",
      "nonlinear wave equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1109.5662P"
    }
  }
}