{
  "id": "1702.08532",
  "version": "v1",
  "published": "2017-02-27T21:12:59.000Z",
  "updated": "2017-02-27T21:12:59.000Z",
  "title": "Stochastic homogenization of maximal monotone relations and applications",
  "authors": [
    "Luca Lussardi",
    "Stefano Marini",
    "Marco Veneroni"
  ],
  "categories": [
    "math.AP",
    "math.FA"
  ],
  "abstract": "We study the homogenization of a stationary random maximal monotone operator on a probability space equipped with an ergodic dynamical system. The proof relies on Fitzpatrick's variational formulation of monotone relations, on Visintin's scale integration/disintegration theory and on Tartar-Murat's compensated compactness. We provide applications to systems of PDEs with random coefficients arising in electromagnetism and in nonlinear elasticity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-02-27T21:12:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35B27",
      "47H05",
      "49J40",
      "74B20",
      "74Q15",
      "78M40"
    ],
    "keywords": [
      "maximal monotone relations",
      "stochastic homogenization",
      "stationary random maximal monotone operator",
      "applications",
      "visintins scale integration/disintegration theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}