{
  "id": "1105.2682",
  "version": "v3",
  "published": "2011-05-13T10:28:28.000Z",
  "updated": "2011-06-29T15:22:35.000Z",
  "title": "A Note on Doubly Nonlinear Parabolic Systems with Unilateral Constraint",
  "authors": [
    "Michal Beneš"
  ],
  "comment": "14 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We prove the existence and uniqueness of the solution to the doubly nonlinear parabolic systems with mixed boundary conditions. Due to the unilateral constraint the problem comes as a variational inequality. We apply the penalty method and Gronwall's technique to prove the existence and uniqueness of the variational solution.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2011-06-29T15:22:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "doubly nonlinear parabolic systems",
      "unilateral constraint",
      "uniqueness",
      "variational solution",
      "mixed boundary conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1105.2682B"
    }
  }
}