{
  "id": "math/0509384",
  "version": "v1",
  "published": "2005-09-16T15:46:58.000Z",
  "updated": "2005-09-16T15:46:58.000Z",
  "title": "Nonexistence of solutions in $(0,1)$ for K-P-P-type equations for all $d\\ge 1$",
  "authors": [
    "J. Englander",
    "P. L. Simon"
  ],
  "comment": "6 pages",
  "categories": [
    "math.AP",
    "math.PR"
  ],
  "abstract": "Consider the KPP-type equation of the form $\\Delta u+f(u)=0$, where $f:[0,1] \\to \\mathbb R_{+}$ is a concave function. We prove for arbitrary dimensions that there is no solution bounded in $(0,1)$. The significance of this result from the point of view of probability theory is also discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-09-16T15:46:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J60",
      "35J65",
      "60J80"
    ],
    "keywords": [
      "k-p-p-type equations",
      "nonexistence",
      "kpp-type equation",
      "concave function",
      "arbitrary dimensions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......9384E"
    }
  }
}