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

Edité par Springer Basel, 2001

A propos de cet article

AS NEW with the very lightest amount of shelf wear. Sent special delivery at no additional cost from standard postage charge. Buy with confidence. N° de réf. du vendeur E3-GPQD-D1ME

Détails bibliographiques

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

Éditeur : Springer Basel

Date d'édition : 2001

Reliure : Hardcover

Etat : As New

Edition : 1st Edition

A propos de ce titre

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.