{
  "id": "2204.06593",
  "version": "v1",
  "published": "2022-04-13T18:25:02.000Z",
  "updated": "2022-04-13T18:25:02.000Z",
  "title": "Large deviations and the emergence of a logarithmic delay in a nonlocal Fisher-KPP equation",
  "authors": [
    "Nathanaël Boutillon"
  ],
  "comment": "20 pages, 1 figure",
  "categories": [
    "math.AP"
  ],
  "abstract": "We study a variant of the Fisher-KPP equation with nonlocal dispersal. Using the theory of large deviations, we show the emergence of a \"Bramson-like\" logarithmic delay for the linearised equation with step-like initial data. We conclude that the logarithmic delay emerges also for the solutions of the nonlinear equation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-04-13T18:25:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35K57",
      "35B40",
      "60F10"
    ],
    "keywords": [
      "nonlocal fisher-kpp equation",
      "large deviations",
      "logarithmic delay emerges",
      "nonlinear equation",
      "step-like initial data"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}