| 书目名称 | Vector-valued Laplace Transforms and Cauchy Problems |
| 副标题 | Second Edition |
| 编辑 | Wolfgang Arendt,Charles J.K. Batty,Frank Neubrande |
| 视频video | |
| 概述 | Standard reference on Laplace transform.Nontrivial applications of functional analysis.Accessible and self-contained text.Includes supplementary material: |
| 丛书名称 | Monographs in Mathematics |
| 图书封面 |  |
| 描述 | 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. The second edition contains detailed notes on the developments in the last decade. They include, for instance, a new characterization of well-posedness of abstract wave equations in Hilbert space due to M. Crouzeix. Moreover new quantitative results on asymptotic behaviour of Laplace transforms have been added. The references are updated and some errors have been corrected. |
| 出版日期 | Book 2011Latest edition |
| 关键词 | Evolution equations; Laplace and Fourier transforms; functional analysis; partial differential equation |
| 版次 | 2 |
| doi | https://doi.org/10.1007/978-3-0348-0087-7 |
| isbn_softcover | 978-3-0348-0327-4 |
| isbn_ebook | 978-3-0348-0087-7Series ISSN 1017-0480 Series E-ISSN 2296-4886 |
| issn_series | 1017-0480 |
| copyright | Birkhäuser Basel AG 2011 |
发表于 2025-3-21 20:01:52
