{
  "id": "1412.1160",
  "version": "v1",
  "published": "2014-12-03T02:44:16.000Z",
  "updated": "2014-12-03T02:44:16.000Z",
  "title": "Regularity and continuity of pullback attractors for non-autonomous stochastic FitzHugh-Nagumo systems on unbounded domains",
  "authors": [
    "Wenqiang Zhao"
  ],
  "comment": "24. arXiv admin note: substantial text overlap with arXiv:1411.7743",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, we prove the existences and uniqueness of pullback attractors in $L^{\\varpi}(\\mathbb{R}^N)\\times L^{2}(\\mathbb{R}^N)$ for stochastic Fitzhugh-Nagumo systems driven by a multiplicative noise and a deterministic non-autonomous forcing. The upper semi-continuity of the perturbed random attractors in $L^{\\varpi}(\\mathbb{R}^N)\\times L^{2}(\\mathbb{R}^N)$ is proved when the intension of noise approaches any nonnegative number, where $\\varpi\\in[2,p]$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-12-03T02:44:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60H15",
      "35R60",
      "35B40",
      "35B41"
    ],
    "keywords": [
      "non-autonomous stochastic fitzhugh-nagumo systems",
      "pullback attractors",
      "unbounded domains",
      "stochastic fitzhugh-nagumo systems driven",
      "regularity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1412.1160Z"
    }
  }
}