{
  "id": "1001.2137",
  "version": "v1",
  "published": "2010-01-13T12:12:48.000Z",
  "updated": "2010-01-13T12:12:48.000Z",
  "title": "Stochastic equations with boundary noise",
  "authors": [
    "Roland Schnaubelt",
    "Mark Veraar"
  ],
  "comment": "submitted",
  "categories": [
    "math.PR",
    "math.AP",
    "math.FA"
  ],
  "abstract": "We study the wellposedness and pathwise regularity of semilinear non-autonomous parabolic evolution equations with boundary and interior noise in an $L^p$ setting. We obtain existence and uniqueness of mild and weak solutions. The boundary noise term is reformulated as a perturbation of a stochastic evolution equation with values in extrapolation spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-01-13T12:12:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60H15",
      "35R60",
      "47D06"
    ],
    "keywords": [
      "stochastic equations",
      "semilinear non-autonomous parabolic evolution equations",
      "boundary noise term",
      "stochastic evolution equation",
      "interior noise"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}