{
  "id": "math/0603723",
  "version": "v1",
  "published": "2006-03-30T21:50:34.000Z",
  "updated": "2006-03-30T21:50:34.000Z",
  "title": "Trivial Stationary Solutions to the Kuramoto-Sivashinsky and Certain Nonlinear Elliptic Equations",
  "authors": [
    "Yanping Cao",
    "Edriss S. Titi"
  ],
  "comment": "10 pages, Journal Article",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We show that the only locally integrable stationary solutions to the integrated Kuramoto-Sivashinsky equation in $R$ and $R^2$ are the trivial constant solutions. We extend our technique and prove similar results to other nonlinear elliptic problems in $\\R^N$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-03-30T21:50:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35G30",
      "35J40",
      "35J60",
      "80A25",
      "80A32"
    ],
    "keywords": [
      "nonlinear elliptic equations",
      "trivial stationary solutions",
      "trivial constant solutions",
      "nonlinear elliptic problems",
      "similar results"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1016/j.jde.2006.08.002",
      "journal": "Journal of Differential Equations",
      "year": 2006,
      "volume": 231,
      "number": 2,
      "pages": 755
    },
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006JDE...231..755C"
    }
  }
}