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The Hardy inequality and the heat equation in twisted tubes
- 1.0351848 - ÚJF 2011 RIV FR eng J - Journal Article
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. E-ISSN 1776-3371
R&D Projects: GA MŠMT LC06002
Institutional research plan: CEZ:AV0Z10480505
Keywords : Twisted tubes * Hardy inequality * Dirichlet Laplacian
Subject RIV: BA - General Mathematics
Impact factor: 1.450, year: 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.
Permanent Link: http://hdl.handle.net/11104/0191504
Number of the records: 1