
Vector-valued Laplace Transforms and Cauchy Problems
Birkhäuser Verlag GmbH
1st Edition
Published on 1. April 2001
Book
Hardback
XI, 523 pages
978-3-7643-6549-3 (ISBN)
Article exhausted; check for reprint
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.
More details
Series
Language
English
Place of publication
Basel
Switzerland
Target group
College/higher education
Professional and scholarly
Research
Edition type
New edition
Illustrations
1
Dimensions
Height: 23.5 cm
Width: 15.5 cm
Thickness: 30 mm
Weight
2050 gr
ISBN-13
978-3-7643-6549-3 (9783764365493)
Schweitzer Classification
Other editions
New editions

Wolfgang Arendt | Charles J.K. Batty | Matthias Hieber
Vector-valued Laplace Transforms and Cauchy Problems
Second Edition
Book
04/2011
2nd Edition
Birkhäuser
€149.79
Shipment within 10-15 days
Content
Part 1 Laplace transforms and well-posedness of Cauchy problems: the Laplace integral; the Laplace transform; Cauchy problems. Part 2 Tauberian theorems and Cauchy problems: asymptotics of Laplace transforms; asymptotics of solutions of Cauchy problems. Part 3 Applications and examples: the heat equation; the wave equation; translation invariant operators on "Lp(Rn)"; appendices.