Vector-valued Laplace Transforms and Cauchy Problems: Second Edition - Softcover

Book 16 of 29: Monographs in Mathematics

Arendt, Wolfgang; Batty, Charles J.K.; Hieber, Matthias

 
9783034800884: Vector-valued Laplace Transforms and Cauchy Problems: Second Edition

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Synopsis

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.

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Other Popular Editions of the Same Title

9783034800860: Vector-valued Laplace Transforms and Cauchy Problems: Second Edition: 96 (Monographs in Mathematics, 96)

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ISBN 10:  303480086X ISBN 13:  9783034800860
Publisher: Birkhäuser, 2011
Hardcover