Vector-Valued Laplace Transforms and Cauchy Problems - Couverture rigide

Arendt, W.; Batty, Charles J. K.; Hieber, Matthias; Neubrander, Frank

 
9783764365493: Vector-Valued Laplace Transforms and Cauchy Problems

Synopsis

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.

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Autres éditions populaires du même titre

9783034850766: Vector-valued Laplace Transforms and Cauchy Problems

Edition présentée

ISBN 10 :  303485076X ISBN 13 :  9783034850766
Editeur : Birkhäuser, 2014
Couverture souple