{
  "id": "1909.09627",
  "version": "v1",
  "published": "2019-09-20T17:30:36.000Z",
  "updated": "2019-09-20T17:30:36.000Z",
  "title": "Twice differentiability of solutions to fully nonlinear parabolic equations near the boundary",
  "authors": [
    "Karthik Adimurthi",
    "Agnid Banerjee",
    "Ram Baran Verma"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, we prove $\\mathcal{H}^{2+\\alpha}$ regularity for viscosity solutions to non-convex fully nonlinear parabolic equations near the boundary. This constitutes the parabolic counterpart of a similar $C^{2, \\alpha}$ regularity result due to Silvestre and Sirakov proved in [15] for solutions to non-convex fully nonlinear elliptic equations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-09-20T17:30:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "twice differentiability",
      "non-convex fully nonlinear elliptic equations",
      "non-convex fully nonlinear parabolic equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}