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Item Details
| Title:
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VECTOR-VALUED LAPLACE TRANSFORMS AND CAUCHY PROBLEMS
SECOND EDITION |
| By: |
Wolfgang Arendt, Charles J. K. Batty, Matthias Hieber |
| Format: |
Paperback |
| List price:
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£99.00 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
3034803273 |
| ISBN 13: |
9783034803274 |
| Publisher: |
SPRINGER BASEL |
| Pub. date: |
28 May, 2013 |
| Edition: |
Softcover reprint of hardcover 2nd ed. 2011 |
| Series: |
Monographs in Mathematics 96 |
| Pages: |
540 |
| Description: |
In addition to systematic coverage of vector-valued Laplace transform theory, ranging from representation to Tauberian theorems, this second edition develops the theory of linear Cauchy problems and semigroups of operators and introduces the Bochner integral. |
| 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. 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. |
| Illustrations: |
XII, 540 p. |
| Publication: |
Switzerland |
| Imprint: |
Springer Basel |
| Returns: |
Returnable |
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