{
  "id": "0902.3006",
  "version": "v3",
  "published": "2009-02-17T21:08:29.000Z",
  "updated": "2009-03-20T21:20:28.000Z",
  "title": "On linear elliptic and parabolic equations with growing drift in Sobolev spaces without weights",
  "authors": [
    "N. V. Krylov"
  ],
  "comment": "15 pages, a few references added along with discussion of them. Assumption 3.1 (ii) changed and is now somewhat stronger",
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider uniformly elliptic and parabolic second-order equations with bounded zeroth-order and bounded VMO leading coefficients and possibly growing first-order coefficients. We look for solutions which are summable to the $p$-th power with respect to the usual Lebesgue measure along with their first and second-order derivatives with respect to the spatial variable.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2009-03-20T21:20:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35K10",
      "35J15"
    ],
    "keywords": [
      "parabolic equations",
      "linear elliptic",
      "sobolev spaces",
      "growing drift",
      "parabolic second-order equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0902.3006K"
    }
  }
}