Vector-valued Laplace Transforms and Cauchy Problems Second Edition
| Author/creator | Arendt, Wolfgang Author |
| Other author | Batty, Charles J. K. Author |
| Other author | Hieber, Matthias Author |
| Other author | Neubrander, Frank Author |
| Format | Electronic |
| Edition | 2nd ed. |
| Publication Info | CH-4010 Basel : Birkhauser Verlag AG Secaucus : Springer [Distributor] |
| Description | xii, 539 p. 23.500 x 015.500 cm. |
| Supplemental Content | Full text available from Springer Books |
| Supplemental Content | Full text available from Springer Nature - Springer Mathematics and Statistics eBooks 2011 English International |
| Subjects |
| Series | Monographs in Mathematics Ser. |
| Summary | Annotation 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. |
| Access restriction | Available only to authorized users. |
| Technical details | Mode of access: World Wide Web |
| Genre/form | Electronic books. |
| ISBN | 9783034800860 |
| ISBN | 303480086X (Trade Cloth) Active Record |
| Standard identifier# | 9783034800860 |
| Stock number | 303480086X 00145491 |