{
  "id": "2311.17658",
  "version": "v1",
  "published": "2023-11-29T14:20:45.000Z",
  "updated": "2023-11-29T14:20:45.000Z",
  "title": "Random attractors for locally monotone stochastic partial differential equations with linear multiplicative fractional noise",
  "authors": [
    "Qiyong Cao",
    "Hongjun Gao"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "In this paper, we consider the random attractors for a class of locally monotone stochastic partial differential equations perturbed by the linear multiplicative fractional Brownian motion with Hurst index $H\\in(\\frac{1}{2},1)$. We obtain the random attractors or $\\mathcal{D}$-pullback random attractors for these systems and some examples are given in this paper.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-11-29T14:20:45.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "monotone stochastic partial differential equations",
      "locally monotone stochastic partial differential",
      "linear multiplicative fractional noise",
      "random attractors"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}