Lp-Theory of Cylindrical Boundary Value Problems: An Operator-Valued Fourier Multiplier and Functional Calculus Approach

Lp-Theory of Cylindrical Boundary Value Problems: An Operator-Valued Fourier Multiplier and Functional Calculus Approach

by Tobias Nau

Paperback(2012)

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Overview

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.

Product Details

ISBN-13: 9783834825049
Publisher: Vieweg+Teubner Verlag
Publication date: 06/17/2012
Edition description: 2012
Pages: 188
Product dimensions: 5.83(w) x 8.27(h) x 0.02(d)

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.

Table of Contents

Fourier Transform and Fourier Series.- Operator-valued Fourier multipliers and functional calculus.- Maximal Lp-Regularity.- Parameter-Elliptic Boundary Value Problems in Cylindrical Domains.- Periodic and Mixed Dirichlet-Neumann Boundary Conditions for the Laplacian.- Stokes Problem and Helmholtz Projection in Rectangular Cylinders.

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