{
  "id": "1012.5088",
  "version": "v1",
  "published": "2010-12-22T20:26:49.000Z",
  "updated": "2010-12-22T20:26:49.000Z",
  "title": "Local well-posedness for the Sixth-Order Boussinesq Equation",
  "authors": [
    "Luiz Gustavo Farah",
    "Amin Esfahani"
  ],
  "comment": "16 pages. Submitted",
  "journal": "Journal of Mathematical Analysis and Applications, Volume 385, Issue 1, 1 January 2012, Pages 230-242",
  "categories": [
    "math.AP"
  ],
  "abstract": "This work studies the local well-posedness of the initial-value problem for the nonlinear sixth-order Boussinesq equation $u_{tt}=u_{xx}+\\beta u_{xxxx}+u_{xxxxxx}+(u^2)_{xx}$, where $\\beta=\\pm1$. We prove local well-posedness with initial data in non-homogeneous Sobolev spaces $H^s(\\R)$ for negative indices of $s \\in \\R$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-12-22T20:26:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "local well-posedness",
      "nonlinear sixth-order boussinesq equation",
      "initial-value problem",
      "initial data",
      "non-homogeneous sobolev spaces"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1012.5088F"
    }
  }
}