{
  "id": "1504.01069",
  "version": "v1",
  "published": "2015-04-05T00:01:28.000Z",
  "updated": "2015-04-05T00:01:28.000Z",
  "title": "$L^p$ bounds on eigenfunctions for operators with double characteristics",
  "authors": [
    "Katya Krupchyk",
    "Gunther Uhlmann"
  ],
  "categories": [
    "math.AP",
    "math.SP"
  ],
  "abstract": "We obtain sharp $L^p$ bounds on the ground states for a class of semiclassical pseudodifferential operators with double characteristics and complex valued symbols, under the assumption that the quadratic approximations along the double characteristics are elliptic.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-04-05T00:01:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35P20",
      "81Q12",
      "81Q20"
    ],
    "keywords": [
      "double characteristics",
      "eigenfunctions",
      "quadratic approximations",
      "complex valued symbols",
      "ground states"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}