{
  "id": "1504.02580",
  "version": "v1",
  "published": "2015-04-10T08:18:15.000Z",
  "updated": "2015-04-10T08:18:15.000Z",
  "title": "Free boundary problems for the diffusive competition system in higher dimension with sign-changing coefficients",
  "authors": [
    "Yonggang Zhao",
    "Mingxin Wang"
  ],
  "comment": "26 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this article we investigate two free boundary problems for a Lotka-Volterra competition system in a higher space dimension with sign-changing coefficients. One may be viewed as describing how two competing species invade if they occupy an initial region, the other describes the dynamical process of a new competitor invading into the habitat of a native species. For simplicity, it is assumed that the environment is radially symmetric. The main purpose of this article is to understand the asymptotic behavior of competing species spreading via a free boundary. We derive some sufficient conditions for species spreading success and spreading failure. Moreover, when spreading successfully, we provide the long time behavior of solutions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-04-10T08:18:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35K51",
      "35R35",
      "92B05",
      "35B40"
    ],
    "keywords": [
      "free boundary problems",
      "diffusive competition system",
      "sign-changing coefficients",
      "higher dimension",
      "higher space dimension"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150402580Z"
    }
  }
}