{
  "id": "2001.03688",
  "version": "v1",
  "published": "2020-01-10T23:11:49.000Z",
  "updated": "2020-01-10T23:11:49.000Z",
  "title": "Revisitation of a Tartar's result on a semilinear hyperbolic system with null condition",
  "authors": [
    "Roberta Bianchini",
    "Gigliola Staffilani"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We revisit a method introduced by Tartar for proving global well-posedness of a semilinear hyperbolic system with null quadratic source in one space dimension. A remarkable point is that, since no dispersion effect is available for 1D hyperbolic systems, Tartar's approach is entirely based on spatial localization and finite speed of propagation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-01-10T23:11:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "semilinear hyperbolic system",
      "tartars result",
      "null condition",
      "revisitation",
      "null quadratic source"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}