{
  "id": "1701.03354",
  "version": "v1",
  "published": "2017-01-12T14:40:25.000Z",
  "updated": "2017-01-12T14:40:25.000Z",
  "title": "Norm inflation for equations of KdV type with fractional dispersion",
  "authors": [
    "Vera Mikyoung Hur"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We demonstrate norm inflation for nonlinear nonlocal equations, which extend the Korteweg-de Vries equation to permit fractional dispersion, in the periodic and non-periodic settings. That is, an initial datum is smooth and arbitrarily small in a Sobolev space, but the solution becomes arbitrarily large in the Sobolev space after an arbitrarily short time.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-01-12T14:40:25.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "kdv type",
      "sobolev space",
      "korteweg-de vries equation",
      "nonlinear nonlocal equations",
      "permit fractional dispersion"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}