Vector-valued laplace transforms and cauchy problems : second edition
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...
Gardado en:
| Auteurs principaux: | , , , , , |
|---|---|
| Formato: | Livre numérique |
| Idioma: | Anglais |
| Publicado: |
Basel :
Springer Basel
[20..].
Cham : Springer Nature |
| Edición: | 2nd ed. 2011. |
| Series: | Monographs in Mathematics
96 |
| Acceso en liña: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Description d'après consultation du 22 avril 2013 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Vector-valued laplace transforms and cauchy problems, second edition, by Wolfgang Arendt, Charles J.K. Batty, Matthias Hieber, Frank Neubrander, 2011, Basel, Springer Basel, 1 vol. (XII-539 p.), Monographs in Mathematics • Vector-valued Laplace Transforms and Cauchy Problems, Texte imprimé, 9783034803274 • Vector-valued Laplace Transforms and Cauchy Problems, Texte imprimé, 9783034800860 • Vector-valued Laplace Transforms and Cauchy Problems, Texte imprimé, 9783034800884 |
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| 084 | |a 47D06. 2010 | ||
| 084 | |a 35A22. 2010 | ||
| 084 | |a 35K15. 2010 | ||
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| 100 | 1 | |a Arendt, Wolfgang, |d 1950- | |
| 245 | 1 | 0 | |a Vector-valued laplace transforms and cauchy problems : |b second edition |c by Wolfgang Arendt, Charles J.K. Batty, Matthias Hieber, Frank Neubrander. |
| 250 | |a 2nd ed. 2011. | ||
| 260 | |a Basel : |b Springer Basel. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Monographs in Mathematics |v 96 |x 2296-4886 | |
| 500 | |a Description d'après consultation du 22 avril 2013 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a Preface to the First Edition Preface to the Second Edition I Laplace Transforms and Well-Posedness of Cauchy Problems 1 The Laplace Integral 2 The Laplace Transform 3 Cauchy Problems II Tauberian Theorems and Cauchy Problems 4 Asymptotics of Laplace Transforms 5 Asymptotics of Solutions of Cauchy Problems III Applications and Examples 6 The Heat Equation 7 The Wave Equation 8 Translation Invariant Operators on Lp(Rn) A Vector-valued Holomorphic Functions B Closed Operators C Ordered Banach Spaces D Banach Spaces which Contain c0 E Distributions and Fourier Multipliers Bibliography Notation Index | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 authors have succeeded admirably in bringing together a wealth of recent material, much of which appears in book form for the first time. This authoritative work is likely to become a standard reference on both the Laplace transform and its applications to the abstract Cauchy problem. The book is an excellent textbook as well. Proofs are always transparent and complete, and many topics that could have been considered as background material are covered as well. All this makes the text very accessible and self-contained. Applications to concrete differential operators are given throughout the text. Each chapter ends with historical and bibliographical comments. In summary, this book will be of interest to a wide audience of (functional) analysts and it should have a place in every mathematics library. Warmly recommended! Jan van Neerven, Nieuw Archief voor Wiskunde, No. 3, 2003 | ||
| 700 | 1 | |a Batty, Charles J.K. |4 aut | |
| 700 | 1 | |a Hieber, Matthias, |d 1959-...., |c mathématicien. |4 aut | |
| 700 | 1 | |a Neubrander, Frank M., |d 1954- |4 aut | |
| 700 | 1 | |a Batty, Charles JK. |4 aut | |
| 700 | 1 | |a Hieber, Matthias. |4 aut | |
| 776 | 0 | |0 250132001 |t Vector-valued laplace transforms and cauchy problems |o second edition |f by Wolfgang Arendt, Charles J.K. Batty, Matthias Hieber, Frank Neubrander |d 2011 |c Basel |n Springer Basel |p 1 vol. (XII-539 p.) |s Monographs in Mathematics | |
| 776 | 0 | |t Vector-valued Laplace Transforms and Cauchy Problems |b Texte imprimé |z 9783034803274 | |
| 776 | 0 | |t Vector-valued Laplace Transforms and Cauchy Problems |b Texte imprimé |z 9783034800860 | |
| 776 | 0 | |t Vector-valued Laplace Transforms and Cauchy Problems |b Texte imprimé |z 9783034800884 | |
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