{
  "id": "1209.4821",
  "version": "v1",
  "published": "2012-09-21T13:57:06.000Z",
  "updated": "2012-09-21T13:57:06.000Z",
  "title": "Stochastic reaction-diffusion systems with Hölder continuous multiplicative noise",
  "authors": [
    "Markus C. Kunze"
  ],
  "comment": "21 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "We prove pathwise uniqueness and strong existence of solutions for stochastic reaction-diffusion systems with locally Lipschitz continuous reaction term of polynomial growth and H\\\"older continuous multiplicative noise. Under additional assumptions on the coefficients, we also prove positivity of the solutions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-09-21T13:57:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60H15",
      "35R60"
    ],
    "keywords": [
      "stochastic reaction-diffusion systems",
      "hölder continuous multiplicative noise",
      "locally lipschitz continuous reaction term",
      "polynomial growth"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1209.4821K"
    }
  }
}