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The asymptotic behaviour of the heat equation in a twisted Dirichlet-Neumann waveguide
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SYSNO ASEP 0367928 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title The asymptotic behaviour of the heat equation in a twisted Dirichlet-Neumann waveguide Author(s) Krejčiřík, David (UJF-V) RID
Zuazua, E. (ES)Source Title Journal of Differential Equations. - : Elsevier - ISSN 0022-0396
Roč. 250, č. 5 (2011), s. 2334-2346Number of pages 3 s. Language eng - English Country US - United States Keywords Laplacian ; Dirichlet and Neumann boundary conditions ; Twist Subject RIV BE - Theoretical Physics R&D Projects LC06002 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) CEZ AV0Z10480505 - UJF-V (2005-2011) UT WOS 000286699700003 DOI 10.1016/j.jde.2010.11.005 Annotation We consider the heat equation in a straight strip, subject to a combination of Dirichlet and Neumann boundary conditions. We show that a switch of the respective boundary conditions leads to an improvement of the decay rate of the heat semigroup of the order of t(-1/2). The proof employs similarity variables that lead to a non-autonomous parabolic equation in a thin strip contracting to the real line, that can be analysed on weighted Sobolev spaces in which the operators under consideration have discrete spectra. Workplace Nuclear Physics Institute Contact Markéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228 Year of Publishing 2013
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