{
  "id": "math/0507545",
  "version": "v1",
  "published": "2005-07-26T17:18:28.000Z",
  "updated": "2005-07-26T17:18:28.000Z",
  "title": "On pathwise uniqueness for stochastic heat equations with non-Lipschitz coefficients",
  "authors": [
    "Leonid Mytnik",
    "Edwin Perkins",
    "Anja Sturm"
  ],
  "comment": "39 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "We consider the existence and pathwise uniqueness of the stochastic heat equation with a multiplicative colored noise term on IR^d for d greater or equal to 1. We focus on the case of non-Lipschitz noise coefficients and singular spatial noise correlations. In the course of the proof a new result on Hoelder continuity of the solutions near zero is established.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-07-26T17:18:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60H15",
      "60K35"
    ],
    "keywords": [
      "stochastic heat equation",
      "pathwise uniqueness",
      "non-lipschitz coefficients",
      "singular spatial noise correlations",
      "non-lipschitz noise coefficients"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 39,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......7545M"
    }
  }
}