Vector valued Laplace Transforms and Cauchy Problems is popular PDF and ePub book, written by Wolfgang Arendt in 2011-04-05, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Vector valued Laplace Transforms and Cauchy Problems can be Read Online from any device for your convenience.
Vector valued Laplace Transforms and Cauchy Problems Book PDF Summary
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.
Detail Book of Vector valued Laplace Transforms and Cauchy Problems PDF
- Author : Wolfgang Arendt
- Release : 05 April 2011
- Publisher : Springer Science & Business Media
- ISBN : 9783034800877
- Genre : Mathematics
- Total Page : 540 pages
- Language : English
- PDF File Size : 17,9 Mb
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