Vector-Valued Laplace Transforms and Cauchy Problems
| Author | : | |
| Rating | : | 4.56 (549 Votes) |
| Asin | : | 3764365498 |
| Format Type | : | paperback |
| Number of Pages | : | 538 Pages |
| Publish Date | : | 2014-06-27 |
| Language | : | English |
DESCRIPTION:
A brief statement on "Vector-valued Laplace Transforms and Cauchy Problems" Sorin Dragomir The book we report on is one of the few available unitarytreatments of vector-valued functions (i.e. functions withvalues in a Banach or Frechet space) and the needed additionalknowledge of functional analysis required in this context.The book contains a useful appendix on vector-valuedholomorphic functions. A study of this book might allow thereader to dream of a theory of vector-valued CR functions -say locally defined on a smooth real hypersurface in thecomplex space - to be developed both from the point of view
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.. Existence and uniqueness, regularity, approximation and above all asymptotic behaviour of solutions are studied. In parallel, the theory of linear Cauchy problems and semigroups of operators is developed completely in the spirit of Laplace transforms. Thi