{
  "id": "1801.09410",
  "version": "v1",
  "published": "2018-01-29T09:18:01.000Z",
  "updated": "2018-01-29T09:18:01.000Z",
  "title": "A free boundary problem with non local interaction",
  "authors": [
    "Jimyeong Lee"
  ],
  "comment": "19 pages",
  "categories": [
    "math.PR",
    "math-ph",
    "math.AP",
    "math.MP"
  ],
  "abstract": "We prove local existence for classical solutions of a free boundary problem which arises in one of the biological selection models proposed by Brunet and Derrida, [2] and Durrett and Remenik, [15]. The problem we consider describes the limit evolution of branching brownian particles on the line with death of the leftmost particle at each creation time as studied in [13]. We use extensively results in [5] and [16].",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-01-29T09:18:01.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "free boundary problem",
      "non local interaction",
      "local existence",
      "biological selection models",
      "limit evolution"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}