Vector-valued Laplace Transforms and Cauchy Problems by Wolfgang Arendt, Charles J.K. Batty, Frank Neubrander.

Linear evolution equations in Banach spaces have seen important developments in the last two decades. This is due to the many different applications in the theory of partial differential equations, probability theory, mathematical physics, and other areas, and also to the development of new techniqu...

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Bibliographic Details
Main Authors: Arendt, Wolfgang (Author), Batty, Charles J.K (Author), Neubrander, Frank (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Basel : Springer Basel : Imprint: Birkhäuser, 2001.
Edition:1st ed. 2001.
Series:Monographs in Mathematics, 96
Springer eBook Collection.
Subjects:
Online Access:Click to view e-book
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Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • A Laplace Transforms and Well-Posedness of Cauchy Problems
  • 1 The Laplace Integral
  • 2 The Laplace Transform
  • 3 Cauchy Problems
  • B Tauberian Theorems and Cauchy Problems
  • 4 Asymptotics of Laplace Transforms
  • 5 Asymptotics of Solutions of Cauchy Problems
  • C Applications and Examples
  • 6 The Heat Equation
  • 7 The Wave Equation
  • 8 Translation Invariant Operators on Lp(?n)
  • Appendices
  • A Vector-valued Holomorphic Functions
  • B Closed Operators
  • C Ordered Banach Spaces
  • E Distributions and Fourier Multipliers
  • Notation.