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Author Nau, Tobias.

Title Lp-theory of cylindrical boundary value problems : an operator-valued fourier multiplier and functional calculus approach / Tobias Nau
Published Wiesbaden : Springer Spektrum, 2012
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Contents Introduction and main results -- Vector-valued Fourier transform and Fourier series -- R-boundedness and operator-valued Fourier multiplier theorems -- Classes of operators and Dunford functional calculus -- Parabolic problems and maximal regularity -- Fourier transform approach to operator-dependent problems -- Fourier series approach to operator-dependent problems -- Application to cylindrical boundary value problems -- Application to the Stokes equation -- The functional calculus approach
Summary Annotation 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
Analysis Mathematics
Fourier analysis
Notes Diss.-- Universit├Ąt Konstanz, 2012
Bibliography Includes bibliographical references and index
Notes Summary in German
Subject Boundary value problems.
Fourier analysis.
Fourier Analysis.
Mathematics.
Genre/Form Academic theses.
Form Electronic book
ISBN 3834825050 (electronic bk.)
9783834825056 (electronic bk.)