{
  "id": "0903.5014",
  "version": "v1",
  "published": "2009-03-29T00:21:01.000Z",
  "updated": "2009-03-29T00:21:01.000Z",
  "title": "Pullback Attractors for Non-autonomous Reaction-Diffusion Equations on R^n",
  "authors": [
    "Bixiang Wang"
  ],
  "categories": [
    "math.AP",
    "math.DS"
  ],
  "abstract": "We study the long time behavior of solutions of the non-autonomous Reaction-Diffusion equation defined on the entire space R^n when external terms are unbounded in a phase space. The existence of a pullback global attractor for the equation is established in L^2(R^n) and H^1(R^n), respectively. The pullback asymptotic compactness of solutions is proved by using uniform a priori estimates on the tails of solutions outside bounded domains.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-03-29T00:21:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35B40"
    ],
    "keywords": [
      "non-autonomous reaction-diffusion equation",
      "pullback attractors",
      "long time behavior",
      "pullback global attractor",
      "pullback asymptotic compactness"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0903.5014W"
    }
  }
}