{
  "id": "1803.00955",
  "version": "v1",
  "published": "2018-03-02T17:19:03.000Z",
  "updated": "2018-03-02T17:19:03.000Z",
  "title": "Global solution of the initial value problem for the focusing Davey-Stewartson II system",
  "authors": [
    "Evgeny Lakshtanov",
    "Boris Vainberg"
  ],
  "categories": [
    "math-ph",
    "math.AP",
    "math.MP"
  ],
  "abstract": "We consider the two dimensional focusing Davey-Stewartson II system and construct the global solution of the Cauchy problem for a dense in $L^2(\\mathbb C)$ set of initial data. We do not assume that the initial data is small. So, the solutions may have singularities. We show that the blow-up may occur only on a real analytic variety and the variety is bounded in each strip $t \\leq T$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-03-02T17:19:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "initial value problem",
      "global solution",
      "initial data",
      "real analytic variety",
      "cauchy problem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}