{
  "id": "1306.6385",
  "version": "v1",
  "published": "2013-06-27T00:12:41.000Z",
  "updated": "2013-06-27T00:12:41.000Z",
  "title": "Nonnegative solutions to stochastic heat equation with nonlinear drift",
  "authors": [
    "Makoto Nakashima"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We consider one-dimensional stochastic heat equation with nonlinear drift, $\\displaystyle \\partial_t u=\\frac{1}{2}\\Delta u+b(u)u+\\sigma(u)\\dot{W}(t,x)$, where $b:\\mathbb{R}_{+}\\to \\mathbb{R}$ is a continuous function and $\\sigma:\\mathbb{R}_{+}\\to \\mathbb{R}$ is a continuous function with suitable property. We will construct nonnegative solutions to such SPDEs.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-06-27T00:12:41.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nonlinear drift",
      "one-dimensional stochastic heat equation",
      "continuous function",
      "construct nonnegative solutions",
      "suitable property"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1306.6385N"
    }
  }
}