Vector-valued Laplace Transforms and Cauchy Problems: v. 96 (Monographs in Mathematics)

Wolfgang Arendt (Author), Charles J.K. Batty (Author), Frank Neubrander (Author)

ISBN 10: 3764365498 / ISBN 13: 9783764365493

Published by Springer Basel, 2001

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Bibliographic Details

Title: Vector-valued Laplace Transforms and Cauchy ...

Publisher: Springer Basel

Publication Date: 2001

Binding: Hardcover

Condition: As New

Edition: 1st Edition

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Synopsis:

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.