{
  "id": "2303.05832",
  "version": "v1",
  "published": "2023-03-10T10:13:46.000Z",
  "updated": "2023-03-10T10:13:46.000Z",
  "title": "Well-posedness of the martingale problem for super-Brownian motion with interactive branching",
  "authors": [
    "Lina Ji",
    "Jie Xiong",
    "Xu Yang"
  ],
  "doi": "10.1016/j.spa.2023.06.006",
  "categories": [
    "math.PR"
  ],
  "abstract": "In this paper a martingale problem for super-Brownian motion with interactive branching is derived. The uniqueness of the solution to the martingale problem is obtained by using the pathwise uniqueness of the solution to a corresponding system of SPDEs with proper boundary conditions. The existence of the solution to the martingale problem and the local H\\\"{o}lder continuity of the density process are also studied.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-03-10T10:13:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "martingale problem",
      "super-brownian motion",
      "interactive branching",
      "well-posedness",
      "proper boundary conditions"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}