Vector-valued Laplace Transforms and Cauchy Problems

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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...

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Detalles Bibliográficos
Autores principales: Arendt, Wolfgang, Batty, Charles JK, Hieber, Matthias, Neubrander, Frank
Lenguaje:eng
Publicado: Springer 2011
Materias:
Mathematical Physics and Mathematics
Acceso en línea:https://dx.doi.org/10.1007/978-3-0348-0087-7
http://cds.cern.ch/record/1414036
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author Arendt, Wolfgang
Batty, Charles JK
Hieber, Matthias
Neubrander, Frank
author_facet Arendt, Wolfgang
Batty, Charles JK
Hieber, Matthias
Neubrander, Frank
author_sort Arendt, Wolfgang
collection CERN
description 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 student
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2011
publisher Springer
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spelling cern-14140362021-04-22T00:41:12Zdoi:10.1007/978-3-0348-0087-7http://cds.cern.ch/record/1414036engArendt, WolfgangBatty, Charles JKHieber, MatthiasNeubrander, FrankVector-valued Laplace Transforms and Cauchy ProblemsMathematical Physics and MathematicsThis 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 studentSpringeroai:cds.cern.ch:14140362011
spellingShingle Mathematical Physics and Mathematics
Arendt, Wolfgang
Batty, Charles JK
Hieber, Matthias
Neubrander, Frank
Vector-valued Laplace Transforms and Cauchy Problems
title Vector-valued Laplace Transforms and Cauchy Problems
title_full Vector-valued Laplace Transforms and Cauchy Problems
title_fullStr Vector-valued Laplace Transforms and Cauchy Problems
title_full_unstemmed Vector-valued Laplace Transforms and Cauchy Problems
title_short Vector-valued Laplace Transforms and Cauchy Problems
title_sort vector-valued laplace transforms and cauchy problems
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-0348-0087-7
http://cds.cern.ch/record/1414036
work_keys_str_mv AT arendtwolfgang vectorvaluedlaplacetransformsandcauchyproblems
AT battycharlesjk vectorvaluedlaplacetransformsandcauchyproblems
AT hiebermatthias vectorvaluedlaplacetransformsandcauchyproblems
AT neubranderfrank vectorvaluedlaplacetransformsandcauchyproblems

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