{
  "id": "2011.10723",
  "version": "v1",
  "published": "2020-11-21T05:13:56.000Z",
  "updated": "2020-11-21T05:13:56.000Z",
  "title": "Non-uniform continuous dependence on initial data for a two_component Novikov system in Besov space",
  "authors": [
    "Xing Wu",
    "Jie Cao"
  ],
  "comment": "This paper has been submitted",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, we show that the solution map of the two-component Novikov system is not uniformly continuous on the initial data in Besov spaces $B_{p, r}^{s-1}(\\mathbb{R})\\times B_{p, r}^s(\\mathbb{R})$ with $s>\\max\\{1+\\frac{1}{p}, \\frac{3}{2}\\}$, $1\\leq p< \\infty$, $1\\leq r<\\infty$. Our result covers and extends the previous non-uniform continuity in Sobolev spaces $H^{s-1}(\\mathbb{R})\\times H^s(\\mathbb{R})$ for $s>\\frac{5}{2}$ (J. Math. Phys., 2017) to Besov spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-11-21T05:13:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "besov space",
      "non-uniform continuous dependence",
      "initial data",
      "two-component novikov system",
      "solution map"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}