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Lp-Theory of Cylindrical Boundary Value Problems

An Operator-Valued Fourier Multiplier and Functional Calculus Approach

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  • © 2012

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Table of contents (10 chapters)

Keywords

About this book

Tobias Nau addresses initial boundary value problems in cylindrical space domains with the aid of modern techniques from functional analysis and operator theory. In particular, the author uses concepts from Fourier analysis of functions with values in Banach spaces and the operator-valued functional calculus of sectorial operators. He applies abstract results to concrete problems in cylindrical space domains such as the heat equation subject to numerous boundary conditions and equations arising from fluid dynamics.

Authors and Affiliations

  • Konstanz, Germany

    Tobias Nau

About the author

Tobias Nau earned his doctorate under the supervision of Prof. Dr. Robert Denk at the Department of Mathematics and Statistics at the University of Konstanz and is presently a member of the Faculty of Mathematics and Economics at the University of Ulm.

Bibliographic Information

  • Book Title: Lp-Theory of Cylindrical Boundary Value Problems

  • Book Subtitle: An Operator-Valued Fourier Multiplier and Functional Calculus Approach

  • Authors: Tobias Nau

  • DOI: https://doi.org/10.1007/978-3-8348-2505-6

  • Publisher: Vieweg+Teubner Verlag Wiesbaden

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Spektrum | Springer Fachmedien Wiesbaden GmbH 2012

  • Softcover ISBN: 978-3-8348-2504-9Published: 24 May 2012

  • eBook ISBN: 978-3-8348-2505-6Published: 18 June 2012

  • Edition Number: 1

  • Number of Pages: XVI, 188

  • Number of Illustrations: 14 illustrations in colour

  • Topics: Fourier Analysis

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