Lp-Theory of Cylindrical Boundary Value Problems

An Operator-Valued Fourier Multiplier and Functional Calculus Approach
1. Auflage 2012
ISBN: 978-3-8348-2504-9
Verlag: Vieweg+Teubner Verlag

Buch, Englisch, 188 Seiten, Format (B × H): 148 mm x 210 mm, Gewicht: 270 g

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.

Zielgruppe

Research

Autoren/Hrsg.

Nau, Tobias

Fachgebiete

• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Strömungslehre
• Naturwissenschaften Physik Mechanik Kontinuumsmechanik, Strömungslehre
• Mathematik | Informatik Mathematik Mathematische Analysis Vektoranalysis, Physikalische Felder
• Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik

Inhaltsverzeichnis

Fourier Transform and Fourier Series.- Operator-valued Fourier multipliers and functional calculus.- Maximal L-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.

Über Autor(innen)

Nau, Tobias
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.