{
  "id": "0906.3359",
  "version": "v2",
  "published": "2009-06-18T06:35:55.000Z",
  "updated": "2009-06-22T06:32:32.000Z",
  "title": "The Hardy inequality and the heat equation in twisted tubes",
  "authors": [
    "David Krejcirik",
    "Enrique Zuazua"
  ],
  "comment": "35 pages, LaTeX with 2 EPS figures; a misprint in Conjecture on page 33 corrected",
  "journal": "J. Math. Pures Appl. 94 (2010), 277-303",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP",
    "math.SP"
  ],
  "abstract": "We show that a twist of a three-dimensional tube of uniform cross-section yields an improved decay rate for the heat semigroup associated with the Dirichlet Laplacian in the tube. The proof employs Hardy inequalities for the Dirichlet Laplacian in twisted tubes and the method of self-similar variables and weighted Sobolev spaces for the heat equation.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-06-22T06:32:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "heat equation",
      "hardy inequality",
      "twisted tubes",
      "dirichlet laplacian",
      "proof employs hardy inequalities"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 35,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0906.3359K"
    }
  }
}