{
  "id": "1911.13165",
  "version": "v1",
  "published": "2019-11-19T23:28:23.000Z",
  "updated": "2019-11-19T23:28:23.000Z",
  "title": "Mean-field backward stochastic differential equations with mean reflection and nonlinear resistance",
  "authors": [
    "Peng Luo"
  ],
  "comment": "arXiv admin note: substantial text overlap with arXiv:1705.09852",
  "categories": [
    "math.PR"
  ],
  "abstract": "The present paper is devoted to the study of the well-posedness of mean-field BSDEs with mean reflection and nonlinear resistance. By the contraction mapping argument, we first prove that the mean-field BSDE with mean reflection and nonlinear resistance admits a unique deterministic flat local solution on a small time interval. Moreover, we build the global solution on the whole time interval by stitching local solutions when there is no resistance in the generator.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-11-19T23:28:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "mean-field backward stochastic differential equations",
      "mean reflection",
      "nonlinear resistance",
      "deterministic flat local solution"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}