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The Hardy inequality and the heat equation in twisted tubes
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SYSNO ASEP 0351848 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title The Hardy inequality and the heat equation in twisted tubes Author(s) Krejčiřík, David (UJF-V) RID
Zuazua, E. (ES)Source Title Journal de Mathematiques Pures et Appliquees. - : Elsevier - ISSN 0021-7824
Roč. 94, č. 3 (2010), s. 277-303Number of pages 7 s. Language eng - English Country FR - France Keywords Twisted tubes ; Hardy inequality ; Dirichlet Laplacian Subject RIV BA - General Mathematics R&D Projects LC06002 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) CEZ AV0Z10480505 - UJF-V (2005-2011) UT WOS 000281984000003 DOI 10.1016/j.matpur.2010.02.006 Annotation 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. Workplace Nuclear Physics Institute Contact Markéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228 Year of Publishing 2011
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