{
  "id": "2303.05467",
  "version": "v2",
  "published": "2023-03-09T18:13:35.000Z",
  "updated": "2023-03-28T12:31:07.000Z",
  "title": "Singular parabolic problems in the half-space",
  "authors": [
    "Giorgio Metafune",
    "Luigi Negro",
    "Chiara Spina"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:2112.01791",
  "categories": [
    "math.AP"
  ],
  "abstract": "We study elliptic and parabolic problems governed by singular elliptic operators \\begin{equation*} \\mathcal L =\\sum_{i,j=1}^{N+1}q_{ij}D_{ij}+\\frac c y D_y \\end{equation*} in the half-space $\\mathbb{R}^{N+1}_+=\\{(x,y): x \\in \\mathbb{R}^N, y>0\\}$ under Neumann boundary conditions at $y=0$. More general operators and oblique derivative boundary conditions will be also considered.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2023-03-28T12:31:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "singular parabolic problems",
      "half-space",
      "singular elliptic operators",
      "oblique derivative boundary conditions",
      "neumann boundary conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}