Articles liés à Vector-Valued Laplace Transforms and Cauchy Problems
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.
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- ÉditeurBirkhauser Verlag AG
- Date d'édition2013
- ISBN 10 3034803273
- ISBN 13 9783034803274
- ReliureBroché
- Langueanglais
- Numéro d'édition2
- Nombre de pages540
- Coordonnées du fabricantnon disponible
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Vector-valued Laplace Transforms and Cauchy Problems
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Standard reference on Laplace transformNontrivial applications of functional analysisAccessible and self-contained textThis monograph gives a systematic account of the theory of vector-valued Laplace transforms, ranging from represe. N° de réf. du vendeur 4318197
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Vector-valued Laplace Transforms and Cauchy Problems: Second Edition (Monographs in Mathematics, 96)
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Vector-valued Laplace Transforms and Cauchy Problems : Second Edition
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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. N° de réf. du vendeur 9783034803274
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Vector-valued Laplace Transforms and Cauchy Problems
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Springer Basel Mai 2013, 2013
ISBN 10 : 3034803273
ISBN 13 : 9783034803274
Neuf
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 552 pp. Englisch. N° de réf. du vendeur 9783034803274
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