{
  "id": "1603.04209",
  "version": "v1",
  "published": "2016-03-14T11:15:20.000Z",
  "updated": "2016-03-14T11:15:20.000Z",
  "title": "The Stokes phenomenon for certain partial differential equations with meromorphic initial data",
  "authors": [
    "Sławomir Michalik",
    "Bożena Podhajecka"
  ],
  "comment": "21 pages, 2 figures",
  "categories": [
    "math.AP",
    "math.CV"
  ],
  "abstract": "We study the Stokes phenomenon for the solutions of the 1-dimensional complex heat equation and its generalizations with meromorphic initial data. We use the theory of Borel summability for the description of the Stokes lines, the anti-Stokes lines, jumps across the Stokes lines, and the maximal family of the solutions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-03-14T11:15:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35C10",
      "35C15",
      "35K05"
    ],
    "keywords": [
      "meromorphic initial data",
      "partial differential equations",
      "stokes phenomenon",
      "complex heat equation",
      "anti-stokes lines"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}