Lp-Theory of Cylindrical Boundary Value Problems

An Operator-Valued Fourier Multiplier and Functional Calculus Approach

Paperback Engels 2012 2012e druk 9783834825049
Verwachte levertijd ongeveer 9 werkdagen

Samenvatting

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.

Specificaties

ISBN13:9783834825049
Taal:Engels
Bindwijze:paperback
Aantal pagina's:188
Druk:2012

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Inhoudsopgave

​Fourier Transform and Fourier Series.- Operator-valued Fourier multipliers and functional calculus.- Maximal L<sup>p</sup>-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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        Lp-Theory of Cylindrical Boundary Value Problems