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Sinopsis
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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Reseña del editor
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.
"Sobre este título" puede pertenecer a otra edición de este libro.
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Vector-Valued Laplace Transforms and Cauchy Problems
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Springer Basel, 2002
ISBN 10: 3764365498
ISBN 13: 9783764365493
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Vector-Valued Laplace Transforms and Cauchy Problems
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ISBN 13: 9783764365493
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Vector-valued Laplace Transforms and Cauchy Problems: v. 96 (Monographs in Mathematics)
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Vector-Valued Laplace Transforms and Cauchy Problems
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Springer Basel, 2002
ISBN 10: 3764365498
ISBN 13: 9783764365493
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