Počet záznamů: 1

The Hardy inequality and the heat equation in twisted tubes

  1. 1.
    0351848 - UJF-V 2011 RIV FR eng J - Článek v odborném periodiku
    Krejčiřík, David - Zuazua, E.
    The Hardy inequality and the heat equation in twisted tubes.
    Journal de Mathematiques Pures Et Appliquees. Roč. 94, č. 3 (2010), s. 277-303 ISSN 0021-7824
    Grant CEP: GA MŠk LC06002
    Výzkumný záměr: CEZ:AV0Z10480505
    Klíčová slova: Twisted tubes * Hardy inequality * Dirichlet Laplacian
    Kód oboru RIV: BA - Obecná matematika
    Impakt faktor: 1.450, rok: 2010

    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.
    Trvalý link: http://hdl.handle.net/11104/0191504