{
  "id": "2408.07610",
  "version": "v1",
  "published": "2024-08-14T15:17:56.000Z",
  "updated": "2024-08-14T15:17:56.000Z",
  "title": "Elliptic operators and boundary problems in spaces of generalized smoothness",
  "authors": [
    "V. A. Mikhailets",
    "A. A. Murach",
    "I. S. Chepurukhina"
  ],
  "comment": "Ukrainian; 34 pages; 163 references",
  "categories": [
    "math.AP"
  ],
  "abstract": "The paper contains a survey of the results obtained during the last ten years in the theory of elliptic boundary problems in H\\\"ormander function spaces, developed by the authors, and other related results of modern analysis. The basics of this theory and some of its applications are systematically expounded in the monograph \"H\\\"ormander Spaces, Interpolation, and Elliptic Problems\" (De Gruyter, Berlin/Boston, 2014) by the first two authors of the survey.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-08-14T15:17:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46E35",
      "35J40",
      "35J48"
    ],
    "keywords": [
      "elliptic operators",
      "generalized smoothness",
      "elliptic boundary problems",
      "paper contains",
      "elliptic problems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}