{
  "id": "1202.6671",
  "version": "v2",
  "published": "2012-02-29T20:22:55.000Z",
  "updated": "2012-10-15T15:22:35.000Z",
  "title": "An ill-posedness result for the Boussinesq equation",
  "authors": [
    "Dan-Andrei Geba",
    "A. Alexandrou Himonas",
    "David Karapetyan"
  ],
  "comment": "Based on the comments received from Nobu Kishimoto, the original version has been amended and incorporated with the results of arXiv:1209.0998",
  "categories": [
    "math.AP"
  ],
  "abstract": "The aim of this article is to prove new ill-posedness results concerning the nonlinear \"good\" Boussinesq equation, for both the periodic and non-periodic initial value problems. Specifically, we prove that the associated flow map is not continuous in Sobolev spaces $H^s$, for all $s<-1/2$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-10-15T15:22:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35B30",
      "35Q55"
    ],
    "keywords": [
      "boussinesq equation",
      "non-periodic initial value problems",
      "associated flow map",
      "sobolev spaces",
      "ill-posedness results concerning"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1202.6671G"
    }
  }
}