{
  "id": "1305.3662",
  "version": "v1",
  "published": "2013-05-16T00:22:43.000Z",
  "updated": "2013-05-16T00:22:43.000Z",
  "title": "Null structure in a system of quadratic derivative nonlinear Schrödinger equations",
  "authors": [
    "Masahiro Ikeda",
    "Soichiro Katayama",
    "Hideaki Sunagawa"
  ],
  "comment": "33 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider the initial value problem for a three-component system of quadratic derivative nonlinear Schr\\\"odinger equations in two space dimensions with the masses satisfying the resonance relation. We present a structural condition on the nonlinearity under which small data global existence holds. It is also shown that the solution is asymptotically free. Our proof is based on the commuting vector field method combined with smoothing effects.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-05-16T00:22:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q55",
      "35B40"
    ],
    "keywords": [
      "quadratic derivative nonlinear schrödinger equations",
      "null structure",
      "small data global existence holds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 33,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015AnHP...16..535I"
    }
  }
}