{
  "id": "2205.02059",
  "version": "v1",
  "published": "2022-05-04T13:35:14.000Z",
  "updated": "2022-05-04T13:35:14.000Z",
  "title": "Carleman estimates for sub-Laplacians on Carnot groups",
  "authors": [
    "Vedansh Arya",
    "Dharmendra Kumar"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:2011.12624, arXiv:1701.04080 by other authors",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this note, we establish a new Carleman estimate with singular weights for the sub-Laplacian on a Carnot group $\\mathbb G$ for functions satisfying the discrepancy assumption in (2.16) below. We use such an estimate to derive a sharp vanishing order estimate for solutions to stationary Schr\\\"odinger equations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-05-04T13:35:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "carnot group",
      "carleman estimate",
      "sub-laplacian",
      "sharp vanishing order estimate",
      "singular weights"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}