{
  "id": "1803.03992",
  "version": "v1",
  "published": "2018-03-11T17:39:41.000Z",
  "updated": "2018-03-11T17:39:41.000Z",
  "title": "Nonregular elliptic boundary-value problems and Hörmander spaces",
  "authors": [
    "Anna Anop",
    "Tetiana Kasirenko",
    "Aleksandr Murach"
  ],
  "comment": "20 pages, in Ukrainian",
  "categories": [
    "math.AP"
  ],
  "abstract": "We investigate nonregular elliptic problems with boundary conditions of higher orders. We prove that these problems are Fredholm on appropriate pairs of inner product H\\\"ormander spaces that form a two-sided refined Sobolev scale. We also prove a theorem on the regularity of generalized solutions to the problems in these spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-03-11T17:39:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J40",
      "46E35"
    ],
    "keywords": [
      "nonregular elliptic boundary-value problems",
      "hörmander spaces",
      "nonregular elliptic problems",
      "boundary conditions",
      "higher orders"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}