{
  "id": "1302.1053",
  "version": "v1",
  "published": "2013-02-05T14:56:34.000Z",
  "updated": "2013-02-05T14:56:34.000Z",
  "title": "Pulsating fronts for nonlocal dispersion and KPP nonlinearity",
  "authors": [
    "Jerome Coville",
    "Juan Davila",
    "Salome Martinez"
  ],
  "comment": "Annales de l'Institut Henri Poincar\\'e Analyse non lin\\'eaire (2011)",
  "doi": "10.1016/j.anihpc.2012.07.005",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we are interested in propagation phenomena for nonlocal reaction-diffusion equations of the type: $\\delta_tu = J \\times u - u + f (x, u) t \\in R^+, x \\in R^N$, where J is a probability density and f is a KPP nonlinearity periodic in the x variables. Under suitable assumptions we establish the existence of pulsating fronts describing the invasion of the 0 state by a heterogeneous state. We also give a variational characterization of the minimal speed of such pulsating fronts and exponential bounds on the asymptotic behavior of the solution.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-02-05T14:56:34.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "pulsating fronts",
      "nonlocal dispersion",
      "nonlocal reaction-diffusion equations",
      "kpp nonlinearity periodic",
      "probability density"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013AnIHP..30..179C"
    }
  }
}