{
  "id": "1804.09050",
  "version": "v1",
  "published": "2018-04-23T14:37:12.000Z",
  "updated": "2018-04-23T14:37:12.000Z",
  "title": "The Obstacle Problem for Quasilinear Stochastic PDEs with Degenerate Operator",
  "authors": [
    "Xue Yang",
    "Jing Zhang"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:1202.3296",
  "categories": [
    "math.PR"
  ],
  "abstract": "We prove the existence and uniqueness of solution of quasilinear stochastic partial differential equations with obstacle (OSPDEs in short) in degenerate case. Using De Giorgi's iteration, we deduce the $L^p-$estimates for the time-space uniform norm of weak solutions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-04-23T14:37:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quasilinear stochastic pdes",
      "degenerate operator",
      "obstacle problem",
      "quasilinear stochastic partial differential equations",
      "time-space uniform norm"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}