{
  "id": "1407.4221",
  "version": "v1",
  "published": "2014-07-16T07:54:46.000Z",
  "updated": "2014-07-16T07:54:46.000Z",
  "title": "Global solution to nonlinear Dirac equation for Gross-Neveu model in $1+1$ dimensions",
  "authors": [
    "Yongqian Zhang",
    "Qin Zhao"
  ],
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "This paper studies a class of nonlinear Dirac equations with cubic terms in $R^{1+1}$, which include the equations for the massive Thirring model and the massive Gross-Neveu model. Under the assumption that the initial data has bounded $L^2$ norm, the global existence and the uniqueness of the strong solution in $C([0,\\infty),L^2(R^1))$ are proved.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-07-16T07:54:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q41",
      "35L60",
      "35Q40"
    ],
    "keywords": [
      "nonlinear dirac equation",
      "global solution",
      "dimensions",
      "global existence",
      "paper studies"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1306661,
      "adsabs": "2014arXiv1407.4221Z"
    }
  }
}