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D�tails bibliographiques

Titre: Vector-Valued Laplace Transforms and Cauchy Problems
�diteur: Birkhauser
Date de parution: 2002
Langue: anglais
ISBN � 10 chiffres: 3764365498
ISBN � 13 chiffres: 9783764365493
Reliure: Couverture rigide
�tat de l'article: Good

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.

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