Vector-valued Laplace transforms and Cauchy problems /
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...
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| Format: | eBook |
| Language: | English |
| Published: |
Basel ; Boston :
Birkhause Verlag,
[2001]
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| Series: | Monographs in mathematics ;
v. 96. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (xi, 523 pages) : illustrations. |
| Format: | Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |
| Bibliography: | Includes bibliographical references (pages 487-510) and index. |
| ISBN: | 9783034850759 (electronic bk.) 3034850751 (electronic bk.) |