{
  "id": "1903.01621",
  "version": "v1",
  "published": "2019-03-05T01:29:26.000Z",
  "updated": "2019-03-05T01:29:26.000Z",
  "title": "Initial boundary value problem for nonlinear Dirac equation of Gross-Neveu type in $1+1$ dimensions",
  "authors": [
    "Yongqian Zhang",
    "Qin Zhao"
  ],
  "comment": "27 pages",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "This paper studies an initial boundary value problem for a class of nonlinear Dirac equations with cubic terms and moving boundary. For the initial data with bounded $L^2$ norm and the suitable boundary conditions, the global existence and the uniqueness of the strong solution are proved.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-03-05T01:29:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q41",
      "35L60",
      "35Q40"
    ],
    "keywords": [
      "initial boundary value problem",
      "nonlinear dirac equation",
      "gross-neveu type",
      "dimensions",
      "strong solution"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}