Vector-valued Laplace Transforms and Cauchy Problems
Arendt, Wolfgang
Vector-valued Laplace Transforms and Cauchy Problems Second Edition [electronic resource]: - 2nd ed. - CH-4010 Basel : Secaucus : Birkhauser Verlag AG Springer [Distributor] April 2011 - Monographs in Mathematics Ser. .
License restrictions may limit access.
Annotation 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.
Scholarly & Professional Birkhauser Verlag AG
9783034800860 303480086X (Trade Cloth) USD 129.00 Retail Price (Springer) = Vector-valued Laplace Transforms and Cauchy Problems
9783034800860
303480086X 00145491
QA432.V43 2011
515.723
Vector-valued Laplace Transforms and Cauchy Problems Second Edition [electronic resource]: - 2nd ed. - CH-4010 Basel : Secaucus : Birkhauser Verlag AG Springer [Distributor] April 2011 - Monographs in Mathematics Ser. .
License restrictions may limit access.
Annotation 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.
Scholarly & Professional Birkhauser Verlag AG
9783034800860 303480086X (Trade Cloth) USD 129.00 Retail Price (Springer) = Vector-valued Laplace Transforms and Cauchy Problems
9783034800860
303480086X 00145491
QA432.V43 2011
515.723