{
  "id": "1309.1211",
  "version": "v1",
  "published": "2013-09-05T00:21:09.000Z",
  "updated": "2013-09-05T00:21:09.000Z",
  "title": "Pullback Attractors of Non-autonomous Stochastic Degenerate Parabolic Equations on Unbounded Domains",
  "authors": [
    "Andrew Krause",
    "Bixiang Wang"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "This paper is concerned with pullback attractors of the stochastic p-Laplace equation defined on the entire space R^n. We first establish the asymptotic compactness of the equation in L^2(R^n) and then prove the existence and uniqueness of non-autonomous random attractors. This attractor is pathwise periodic if the non-autonomous deterministic forcing is time periodic. The difficulty of non-compactness of Sobolev embeddings on R^n is overcome by the uniform smallness of solutions outside a bounded domain.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-09-05T00:21:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35B40",
      "35B41",
      "37L30"
    ],
    "keywords": [
      "non-autonomous stochastic degenerate parabolic equations",
      "pullback attractors",
      "unbounded domains",
      "stochastic p-laplace equation",
      "solutions outside"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1309.1211K"
    }
  }
}