ENGLISH

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

By Tobias Nau (auth.)

Book information

Publisher
Vieweg+Teubner Verlag
Year
2012
ISBN
9783834825056, 3834825050
DOI
10.1007/978-3-8348-2505-6
Language
english
Format
PDF
Filesize
1 MB (1527359 bytes)
Edition
1
Pages
188\191
Library
Kolxo3
Time added
2012-12-29 17:00:00
Fourier Analysis

Description

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.

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