{
  "id": "2209.10348",
  "version": "v1",
  "published": "2022-09-21T13:33:22.000Z",
  "updated": "2022-09-21T13:33:22.000Z",
  "title": "Stochastic evolution equations with rough boundary noise",
  "authors": [
    "Alexandra Neamtu",
    "Tim Seitz"
  ],
  "comment": "Preprint, 24 pages. Comments are welcome",
  "categories": [
    "math.PR",
    "math.AP",
    "math.DS"
  ],
  "abstract": "We investigate the well-posedness of stochastic evolution equations perturbed by multiplicative Neumann boundary noise, such as fractional Brownian motion for $H\\in(1/3,1/2]$. Combining the controlled rough path approach with the theory of extrapolation operators, we establish global existence of solutions and flows for such equations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-09-21T13:33:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60G22",
      "60L20",
      "60L50",
      "37H05",
      "37L55"
    ],
    "keywords": [
      "stochastic evolution equations",
      "rough boundary noise",
      "fractional brownian motion",
      "multiplicative neumann boundary noise",
      "controlled rough path approach"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}