{
  "id": "math/0611021",
  "version": "v1",
  "published": "2006-11-01T14:58:48.000Z",
  "updated": "2006-11-01T14:58:48.000Z",
  "title": "Markovianity and ergodicity for a surface growth PDE",
  "authors": [
    "D. Blömker",
    "F. Flandoli",
    "M. Romito"
  ],
  "comment": "33 pages, 1 figure",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "The paper analyses a model in surface growth, where uniqueness of weak solutions seems to be out of reach. We provide the existence of a weak martingale solution satisfying energy inequalities and having the Markov property. Furthermore, under non-degeneracy conditions on the noise, we establish that any such solution is strong Feller and has a unique invariant measure.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-11-01T14:58:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60H15",
      "35Q99",
      "35R60",
      "60H30"
    ],
    "keywords": [
      "surface growth pde",
      "ergodicity",
      "martingale solution satisfying energy inequalities",
      "markovianity",
      "weak martingale solution satisfying energy"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 33,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....11021B"
    }
  }
}