Lp-Theory of Cylindrical Boundary Value Problems

An Operator-Valued Fourier Multiplier and Functional Calculus Approach

  • Tobias┬áNau

Table of contents

About this book

Introduction

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.

Keywords

Dirichlet-Neumann boundary conditions for the Laplacian Fourier transform and Fourier series Maximal LP-regularity Parameter elliptic boundary value problems Stokes problem / Helmholtz projection in rectangular cylinders

Authors and affiliations

  • Tobias┬áNau
    • 1
  1. 1.KonstanzGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-8348-2505-6
  • Copyright Information Springer Spektrum | Springer Fachmedien Wiesbaden GmbH 2012
  • Publisher Name Vieweg+Teubner Verlag
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-8348-2504-9
  • Online ISBN 978-3-8348-2505-6
  • About this book
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