Vector-valued Laplace Transforms and Cauchy Problems - Second Edition (Hardcover, 2nd ed. 2011)

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.

General

Imprint:	Birkhauser Verlag AG
Country of origin:	Switzerland
Series:	Monographs in Mathematics, 96
Release date:	April 2011
First published:	2011
Authors:	Wolfgang Arendt • Charles J.K. Batty • Matthias Hieber • Frank Neubrander
Dimensions:	235 x 155 x 29mm (L x W x T)
Format:	Hardcover - Cloth over boards
Pages:	540
Edition:	2nd ed. 2011
ISBN-13:	978-3-03-480086-0
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
LSN:	3-03-480086-X
Barcode:	9783034800860

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