{
  "id": "1412.6423",
  "version": "v1",
  "published": "2014-12-19T16:35:29.000Z",
  "updated": "2014-12-19T16:35:29.000Z",
  "title": "SPDEs on narrow domains and on graphs: an asymptotic approach",
  "authors": [
    "Sandra Cerrai",
    "Mark Freidlin"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We introduce here a class of stochastic partial differential equations defined on a graph and we show how they are obtained as the limit of suitable stochastic partial equations defined in a narrow channel, as the width of the channel goes to zero. To our knowledge, this is the first time an SPDE on a graph is studied.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-12-19T16:35:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "asymptotic approach",
      "narrow domains",
      "stochastic partial equations",
      "stochastic partial differential equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1412.6423C"
    }
  }
}