{
  "id": "math/0604124",
  "version": "v1",
  "published": "2006-04-06T03:19:37.000Z",
  "updated": "2006-04-06T03:19:37.000Z",
  "title": "Parabolic equations with measurable coefficients",
  "authors": [
    "Doyoon Kim",
    "N. V. Krylov"
  ],
  "comment": "19 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We investigate the unique solvability of second order parabolic equations in non-divergence form in $W_p^{1,2}((0,T) \\times \\bR^d)$, $p \\ge 2$. The leading coefficients are only measurable in either one spatial variable or time and one spatial variable. In addition, they are VMO (vanishing mean oscillation) with respect to the remaining variables.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-04-06T03:19:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35K10",
      "35K20"
    ],
    "keywords": [
      "measurable coefficients",
      "second order parabolic equations",
      "unique solvability",
      "non-divergence form",
      "spatial variable"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1016/j.jmaa.2006.12.077",
      "journal": "Journal of Mathematical Analysis and Applications",
      "year": 2007,
      "month": "Oct",
      "volume": 334,
      "number": 1,
      "pages": 534
    },
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007JMAA..334..534K"
    }
  }
}