Vector-Valued Laplace Transforms and Cauchy Problems (English, Wolfgang Arendt | Charles J. K. Batty | Matthias Hieber)
by Wolfgang Arendt | Charles J. K. Batty | Matthias Hieber
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About the Book
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 eq…
ISBN: 9783034800860
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