{
  "id": "0708.2102",
  "version": "v1",
  "published": "2007-08-15T20:42:13.000Z",
  "updated": "2007-08-15T20:42:13.000Z",
  "title": "Gain of Regularity for the KP-I Equation",
  "authors": [
    "Julie Levandosky",
    "Mauricio Sepulveda",
    "Octavio Vera"
  ],
  "journal": "Journal of Differential Equations 245, 3 (2008) 762-808",
  "doi": "10.1016/j.jde.2008.01.016",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we study the smoothness properties of solutions to the KP-I equation. We show that the equation's dispersive nature leads to a gain in regularity for the solution. In particular, if the initial data $\\phi$ possesses certain regularity and sufficient decay as $x \\to \\infty$, then the solution $u(t)$ will be smoother than $\\phi$ for $0 < t \\leq T$ where $T$ is the existence time of the solution.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-08-15T20:42:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "kp-i equation",
      "regularity",
      "smoothness properties",
      "existence time",
      "initial data"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Differential Equations",
      "year": 2008,
      "volume": 245,
      "number": 3,
      "pages": 762
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008JDE...245..762L"
    }
  }
}