{
  "id": "1105.6119",
  "version": "v1",
  "published": "2011-05-30T21:37:51.000Z",
  "updated": "2011-05-30T21:37:51.000Z",
  "title": "Lagrangian Mean Curvature flow for entire Lipschitz graphs II",
  "authors": [
    "Albert Chau",
    "Jingyi Chen",
    "Yu Yuan"
  ],
  "comment": "17 pages",
  "categories": [
    "math.DG",
    "math.AP"
  ],
  "abstract": "We prove longtime existence and estimates for solutions to a fully nonlinear Lagrangian parabolic equation with locally $C^{1,1}$ initial data $u_0$ satisfying either (1) $-(1+\\eta) I_n\\leq D^2u_0 \\leq (1+\\eta)I_n$ for some positive dimensional constant $\\eta$, (2) $u_0$ is weakly convex everywhere or (3) $u_0$ satisfies a large supercritical Lagrangian phase condition.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-05-30T21:37:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C44",
      "53A10"
    ],
    "keywords": [
      "lagrangian mean curvature flow",
      "entire lipschitz graphs",
      "large supercritical lagrangian phase condition",
      "fully nonlinear lagrangian parabolic equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1105.6119C"
    }
  }
}