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...
محفوظ في:
| المؤلفون الرئيسيون: | , , , , , |
|---|---|
| التنسيق: | Livre numérique |
| اللغة: | Anglais |
| منشور في: |
Basel :
Springer Basel
[20..].
Cham : Springer Nature |
| الطبعة: | 2nd ed. 2011. |
| سلاسل: | Monographs in Mathematics
96 |
| الوصول للمادة أونلاين: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| ملاحظة: |
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 |
جدول المحتويات:
- 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