{
  "id": "1706.00811",
  "version": "v1",
  "published": "2017-05-22T13:38:25.000Z",
  "updated": "2017-05-22T13:38:25.000Z",
  "title": "Differential operators in exterior domain and application",
  "authors": [
    "Veli Shakhmurov"
  ],
  "categories": [
    "math.AP",
    "math.FA"
  ],
  "abstract": "The abstract elliptic and parabolic equations on exterior domain are considered. The equations have top-order variable coefficients. The separability properties of boundary value problems for elliptic equation and well-posedness of the Cauchy problem for parabolic equations are established. In application, the well-posedness of Wentzell-Robin type mixed probem for parabolic equation, Cauchy problem for anisotropic parabolic equations and system of parabolic equations are derived",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-05-22T13:38:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47Fxx",
      "47Hxx",
      "35Pxx"
    ],
    "keywords": [
      "exterior domain",
      "differential operators",
      "application",
      "cauchy problem",
      "boundary value problems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}