{
  "id": "0801.2755",
  "version": "v1",
  "published": "2008-01-17T19:45:49.000Z",
  "updated": "2008-01-17T19:45:49.000Z",
  "title": "$L^\\infty$-Uniqueness of Generalized SCHRÖdinger Operators",
  "authors": [
    "Ludovic Dan Lemle"
  ],
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "The main purpose of this paper is to show that the generalized Schr\\\"odinger operator ${\\cal A}^Vf={1/2}\\Delta f+b\\nabla f-Vf$, $f\\in C_0^\\infty(\\R^d)$, is a pre-generator for which we can prove its $L^\\infty(\\R^d,dx)$-uniqueness. Moreover, we prove the $L^1(\\R^d,dx)$-uniqueness of weak solutions for the Fokker-Planck equation associated with this pre-generator.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-01-17T19:45:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47D03",
      "47F05",
      "60J60"
    ],
    "keywords": [
      "generalized schrödinger operators",
      "uniqueness",
      "pre-generator",
      "weak solutions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0801.2755L"
    }
  }
}