The Hardy inequality and the heat equation in twisted tubes

Krejcirik D, Zuazua E (2010)

Publication Type: Journal article

Publication year: 2010

Journal

Journal De Mathematiques Pures Et Appliquees Elsevier

Book Volume: 94

Pages Range: 277-303

Journal Issue: 3

DOI: 10.1016/j.matpur.2010.02.006

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. (C) 2010 Elsevier Masson SAS. All rights reserved.

Authors with CRIS profile

Enrique Zuazua Iriondo

Involved external institutions

Academy of Sciences of the Czech Republic (ASCR) / Akademie věd České republiky (AVČR) CZ Czech Republic (CZ) Basque Center of Applied Mathematics (BCAM) ES Spain (ES)

How to cite

APA:

Krejcirik, D., & Zuazua, E. (2010). The Hardy inequality and the heat equation in twisted tubes. Journal De Mathematiques Pures Et Appliquees, 94(3), 277-303. https://doi.org/10.1016/j.matpur.2010.02.006

MLA:

Krejcirik, David, and Enrique Zuazua. "The Hardy inequality and the heat equation in twisted tubes." Journal De Mathematiques Pures Et Appliquees 94.3 (2010): 277-303.

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