{
  "id": "1612.07274",
  "version": "v1",
  "published": "2016-12-21T18:54:00.000Z",
  "updated": "2016-12-21T18:54:00.000Z",
  "title": "Obstacle problem for evolution equations involving measure data and operator corresponding to semi-Dirichlet form",
  "authors": [
    "Tomasz Klimsiak"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In the paper we consider obstacle problem, with one and two irregular barriers, for semilinear evolution equation involving measure data and operator corresponding to semi-Dirichlet form. We prove the existence and uniquueness of solutions under the assumption that the right-hand side of the equation is monotone and satisfies mild integrability conditions. To treat the case of irregular barriers, we extend the theory of precise version of a function introduced by M. Pierre. We also give some applications to so-called switching problem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-12-21T18:54:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "measure data",
      "obstacle problem",
      "semi-dirichlet form",
      "operator corresponding",
      "irregular barriers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}