Wolfgang Arendt

(Author)

Vector-Valued Laplace Transforms and Cauchy ProblemsHardcover, 6 April 2011

Vector-Valued Laplace Transforms and Cauchy Problems
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Part of Series
Monographs in Mathematics
Print Length
540 pages
Language
English
Publisher
Birkhauser
Date Published
6 Apr 2011
ISBN-10
303480086X
ISBN-13
9783034800860

Description

This monograph gives a systematic account of the theory of vector-valued Laplace transforms, ranging from representation theory to Tauberian theorems. In parallel, the theory of linear Cauchy problems and semigroups of operators is developed completely in the spirit of Laplace transforms. Existence and uniqueness, regularity, approximation and above all asymptotic behaviour of solutions are studied. Diverse applications to partial differential equations are given. The book contains an introduction to the Bochner integral and several appendices on background material. It is addressed to students and researchers interested in evolution equations, Laplace and Fourier transforms, and functional analysis. The second edition contains detailed notes on the developments in the last decade. They include, for instance, a new characterization of well-posedness of abstract wave equations in Hilbert space due to M. Crouzeix. Moreover new quantitative results on asymptotic behaviour of Laplace transforms have been added. The references are updated and some errors have been corrected.

Product Details

Authors:
Wolfgang ArendtCharles J K BattyMatthias HieberFrank Neubrander
Book Format:
Hardcover
Country of Origin:
NL
Date Published:
6 April 2011
Dimensions:
23.88 x 16.26 x 2.03 cm
ISBN-10:
303480086X
ISBN-13:
9783034800860
Language:
English
Location:
Basel
Pages:
540
Publisher:
Weight:
544.31 gm

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