{
  "id": "1008.3374",
  "version": "v1",
  "published": "2010-08-19T19:20:01.000Z",
  "updated": "2010-08-19T19:20:01.000Z",
  "title": "On fully nonlinear elliptic and parabolic equations in domains with VMO coefficients",
  "authors": [
    "Hongjie Dong",
    "N. V. Krylov",
    "Xu Li"
  ],
  "comment": "35 pages, submitted",
  "categories": [
    "math.AP"
  ],
  "abstract": "We prove the solvability in Sobolev spaces $W^{1,2}_p$, $p>d+1$, of the terminal-boundary value problem for a class of fully nonlinear parabolic equations, including parabolic Bellman's equations, in bounded cylindrical domains with VMO ``coefficients''. The solvability in $W^{2}_p$, $p>d$, of the corresponding elliptic boundary-value problem is also obtained.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-08-19T19:20:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35K61",
      "35B65",
      "35R05"
    ],
    "keywords": [
      "fully nonlinear elliptic",
      "vmo coefficients",
      "corresponding elliptic boundary-value problem",
      "terminal-boundary value problem",
      "fully nonlinear parabolic equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 35,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1008.3374D"
    }
  }
}