{
  "id": "math/0511731",
  "version": "v1",
  "published": "2005-11-30T07:47:46.000Z",
  "updated": "2005-11-30T07:47:46.000Z",
  "title": "Parabolic and elliptic equations with VMO coefficients",
  "authors": [
    "N. V. Krylov"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "An $L_{p}$-theory of divergence and non-divergence form elliptic and parabolic equations is presented. The main coefficients are supposed to belong to the class $VMO_{x}$, which, in particular, contains all functions independent of $x$. Weak uniqueness of the martingale problem associated with such equations is obtained.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-11-30T07:47:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35K10",
      "35J15",
      "60J60"
    ],
    "keywords": [
      "vmo coefficients",
      "elliptic equations",
      "non-divergence form elliptic",
      "parabolic equations",
      "main coefficients"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.....11731K"
    }
  }
}