{
  "id": "0705.3808",
  "version": "v1",
  "published": "2007-05-25T16:11:18.000Z",
  "updated": "2007-05-25T16:11:18.000Z",
  "title": "Parabolic equations with measurable coefficients in $L_p$-spaces with mixed norms",
  "authors": [
    "Doyoon Kim"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "The unique solvability of parabolic equations in Sobolev spaces with mixed norms is presented. The second order coefficients (except $a^{11}$) are assumed to be only measurable in time and one spatial variable, and VMO in the other spatial variables. The coefficient $a^{11}$ is measurable in one spatial variable and VMO in the other variables.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-05-25T16:11:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35K10",
      "35R05",
      "35A05"
    ],
    "keywords": [
      "parabolic equations",
      "mixed norms",
      "measurable coefficients",
      "spatial variable",
      "second order coefficients"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0705.3808K"
    }
  }
}