{
  "id": "1709.08472",
  "version": "v1",
  "published": "2017-09-25T13:12:28.000Z",
  "updated": "2017-09-25T13:12:28.000Z",
  "title": "Optimal Regularity of Stochastic Evolution Equations in M-type 2 Banach Spaces",
  "authors": [
    "Jialin Hong",
    "Chuying Huang",
    "Zhihui Liu"
  ],
  "comment": "17 pages",
  "categories": [
    "math.PR",
    "math.AP"
  ],
  "abstract": "In this paper, we prove the well-posedness and op- timal trajectory regularity for the solution of stochastic evolution equations driven by general multiplicative noises in martingale type 2 Banach spaces. The main idea of our method is to combine the approach in [HL] dealing with Hilbert setting and a version of Burkholder inequality in M-type 2 Banach space. Applying our main results to the stochastic heat equation gives a positive an- swer to an open problem proposed in [JR12].",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-09-25T13:12:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60H35",
      "60H15"
    ],
    "keywords": [
      "banach space",
      "optimal regularity",
      "stochastic evolution equations driven",
      "timal trajectory regularity",
      "stochastic heat equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}