{
  "id": "2001.01701",
  "version": "v1",
  "published": "2020-01-06T18:26:45.000Z",
  "updated": "2020-01-06T18:26:45.000Z",
  "title": "On resolvent approximations of elliptic differential operators with periodic coefficients",
  "authors": [
    "Svetlana Pastukhova"
  ],
  "comment": "21 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We study resolvent approximations for elliptic differential nonselfadjoint operators with periodic coefficients in the limit of the small period. The class of operators covered by our analysis includes uniformly elliptic families with bounded coefficients and also with unbounded coefficients from the John-Nirenberg space $BMO$ (bounded mean oscillation). We apply the modified method of the first approximation with the usage of Steklov's smoothing.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-01-06T18:26:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J05"
    ],
    "keywords": [
      "elliptic differential operators",
      "periodic coefficients",
      "elliptic differential nonselfadjoint operators",
      "study resolvent approximations",
      "small period"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}