{
  "id": "1008.2126",
  "version": "v4",
  "published": "2010-08-12T15:04:10.000Z",
  "updated": "2011-03-21T21:26:34.000Z",
  "title": "Non-uniqueness for non-negative solutions of parabolic stochastic partial differential equations",
  "authors": [
    "K. Burdzy",
    "C. Mueller",
    "E. A. Perkins"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "Pathwise non-uniqueness is established for non-negative solutions of the parabolic stochastic pde $$\\frac{\\partial X}{\\partial t}=\\frac{\\Delta}{2}X+X^p\\dot W+\\psi,\\ X_0\\equiv 0$$ where $\\dot W$ is a white noise, $\\psi\\ge 0$ is smooth, compactly supported and non-trivial, and $0<p<1/2$. We further show that any solution spends positive time at the 0 function.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2011-03-21T21:26:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60H15",
      "60G60",
      "60H10",
      "60H40",
      "60K35",
      "60J80"
    ],
    "keywords": [
      "parabolic stochastic partial differential equations",
      "non-negative solutions",
      "non-uniqueness",
      "parabolic stochastic pde",
      "solution spends positive time"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1008.2126B"
    }
  }
}